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Finding the Fourth Proportional to 10,612.84, 14,647.44 and 10,332.04

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Solution

The fourth proportional to 10,612.84, 14,647.44 and 10,332.04 is: 14,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.84 : 14,647.44 = 10,332.04 : x
  2. Step 2: Convert to fraction form
    10,612.84/14,647.44 = 10,332.04/x
  3. Step 3: Cross multiply
    10,612.84x = 14,647.44 × 10,332.04
  4. Step 4: Simplify right side
    10,612.84x = 151,337,935.98
  5. Step 5: Solve for x
    x = 151,337,935.98/10,612.84
  6. Step 6: Final answer
    x = 14,259.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.