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Finding the Fourth Proportional to 14,897.96, 22,312.92 and 7,112.24

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Solution

The fourth proportional to 14,897.96, 22,312.92 and 7,112.24 is: 10,652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.96 : 22,312.92 = 7,112.24 : x
  2. Step 2: Convert to fraction form
    14,897.96/22,312.92 = 7,112.24/x
  3. Step 3: Cross multiply
    14,897.96x = 22,312.92 × 7,112.24
  4. Step 4: Simplify right side
    14,897.96x = 158,694,842.14
  5. Step 5: Solve for x
    x = 158,694,842.14/14,897.96
  6. Step 6: Final answer
    x = 10,652.12

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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.