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Finding the Fourth Proportional to 24,640.24, 34,014.72 and 15,700

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Solution

The fourth proportional to 24,640.24, 34,014.72 and 15,700 is: 21,673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,640.24 : 34,014.72 = 15,700 : x
  2. Step 2: Convert to fraction form
    24,640.24/34,014.72 = 15,700/x
  3. Step 3: Cross multiply
    24,640.24x = 34,014.72 × 15,700
  4. Step 4: Simplify right side
    24,640.24x = 534,031,104
  5. Step 5: Solve for x
    x = 534,031,104/24,640.24
  6. Step 6: Final answer
    x = 21,673.13

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