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Finding the Fourth Proportional to 10,569.84, 14,553.18 and 8,973.18

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Solution

The fourth proportional to 10,569.84, 14,553.18 and 8,973.18 is: 12,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.84 : 14,553.18 = 8,973.18 : x
  2. Step 2: Convert to fraction form
    10,569.84/14,553.18 = 8,973.18/x
  3. Step 3: Cross multiply
    10,569.84x = 14,553.18 × 8,973.18
  4. Step 4: Simplify right side
    10,569.84x = 130,588,249.14
  5. Step 5: Solve for x
    x = 130,588,249.14/10,569.84
  6. Step 6: Final answer
    x = 12,354.80

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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.