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Finding the Fourth Proportional to 14,967.38, 22,461.10 and 9,424.55

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Solution

The fourth proportional to 14,967.38, 22,461.10 and 9,424.55 is: 14,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.38 : 22,461.10 = 9,424.55 : x
  2. Step 2: Convert to fraction form
    14,967.38/22,461.10 = 9,424.55/x
  3. Step 3: Cross multiply
    14,967.38x = 22,461.10 × 9,424.55
  4. Step 4: Simplify right side
    14,967.38x = 211,685,792.60
  5. Step 5: Solve for x
    x = 211,685,792.60/14,967.38
  6. Step 6: Final answer
    x = 14,143.14

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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.