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Finding the Fourth Proportional to 24,998.56, 34,428 and 24,454.24

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Solution

The fourth proportional to 24,998.56, 34,428 and 24,454.24 is: 33,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,998.56 : 34,428 = 24,454.24 : x
  2. Step 2: Convert to fraction form
    24,998.56/34,428 = 24,454.24/x
  3. Step 3: Cross multiply
    24,998.56x = 34,428 × 24,454.24
  4. Step 4: Simplify right side
    24,998.56x = 841,910,574.72
  5. Step 5: Solve for x
    x = 841,910,574.72/24,998.56
  6. Step 6: Final answer
    x = 33,678.36

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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.