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Finding the Fourth Proportional to 25,229.34, 37,830.84 and 9,421.36

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Solution

The fourth proportional to 25,229.34, 37,830.84 and 9,421.36 is: 14,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,229.34 : 37,830.84 = 9,421.36 : x
  2. Step 2: Convert to fraction form
    25,229.34/37,830.84 = 9,421.36/x
  3. Step 3: Cross multiply
    25,229.34x = 37,830.84 × 9,421.36
  4. Step 4: Simplify right side
    25,229.34x = 356,417,962.74
  5. Step 5: Solve for x
    x = 356,417,962.74/25,229.34
  6. Step 6: Final answer
    x = 14,127.12

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