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Finding the Fourth Proportional to 10,594.69, 14,612.18 and 9,006.59

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Solution

The fourth proportional to 10,594.69, 14,612.18 and 9,006.59 is: 12,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.69 : 14,612.18 = 9,006.59 : x
  2. Step 2: Convert to fraction form
    10,594.69/14,612.18 = 9,006.59/x
  3. Step 3: Cross multiply
    10,594.69x = 14,612.18 × 9,006.59
  4. Step 4: Simplify right side
    10,594.69x = 131,605,905.76
  5. Step 5: Solve for x
    x = 131,605,905.76/10,594.69
  6. Step 6: Final answer
    x = 12,421.88

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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.