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Finding the Fourth Proportional to 24,808, 34,235.58 and 13,630

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Solution

The fourth proportional to 24,808, 34,235.58 and 13,630 is: 18,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808 : 34,235.58 = 13,630 : x
  2. Step 2: Convert to fraction form
    24,808/34,235.58 = 13,630/x
  3. Step 3: Cross multiply
    24,808x = 34,235.58 × 13,630
  4. Step 4: Simplify right side
    24,808x = 466,630,955.40
  5. Step 5: Solve for x
    x = 466,630,955.40/24,808
  6. Step 6: Final answer
    x = 18,809.70

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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.