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Finding the Fourth Proportional to 24,955.76, 34,438.98 and 13,777.76

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Solution

The fourth proportional to 24,955.76, 34,438.98 and 13,777.76 is: 19,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,955.76 : 34,438.98 = 13,777.76 : x
  2. Step 2: Convert to fraction form
    24,955.76/34,438.98 = 13,777.76/x
  3. Step 3: Cross multiply
    24,955.76x = 34,438.98 × 13,777.76
  4. Step 4: Simplify right side
    24,955.76x = 474,492,001.08
  5. Step 5: Solve for x
    x = 474,492,001.08/24,955.76
  6. Step 6: Final answer
    x = 19,013.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.