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Finding the Fourth Proportional to 14,712.12, 22,024.98 and 9,503.16

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Solution

The fourth proportional to 14,712.12, 22,024.98 and 9,503.16 is: 14,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712.12 : 22,024.98 = 9,503.16 : x
  2. Step 2: Convert to fraction form
    14,712.12/22,024.98 = 9,503.16/x
  3. Step 3: Cross multiply
    14,712.12x = 22,024.98 × 9,503.16
  4. Step 4: Simplify right side
    14,712.12x = 209,306,908.94
  5. Step 5: Solve for x
    x = 209,306,908.94/14,712.12
  6. Step 6: Final answer
    x = 14,226.84

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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.