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Finding the Fourth Proportional to 24,948.31, 37,402.60 and 14,406.36

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Solution

The fourth proportional to 24,948.31, 37,402.60 and 14,406.36 is: 21,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,948.31 : 37,402.60 = 14,406.36 : x
  2. Step 2: Convert to fraction form
    24,948.31/37,402.60 = 14,406.36/x
  3. Step 3: Cross multiply
    24,948.31x = 37,402.60 × 14,406.36
  4. Step 4: Simplify right side
    24,948.31x = 538,835,248.50
  5. Step 5: Solve for x
    x = 538,835,248.50/24,948.31
  6. Step 6: Final answer
    x = 21,598.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.