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Finding the Fourth Proportional to 12,006.04, 16,565.16 and 7,700.62

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Solution

The fourth proportional to 12,006.04, 16,565.16 and 7,700.62 is: 10,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.04 : 16,565.16 = 7,700.62 : x
  2. Step 2: Convert to fraction form
    12,006.04/16,565.16 = 7,700.62/x
  3. Step 3: Cross multiply
    12,006.04x = 16,565.16 × 7,700.62
  4. Step 4: Simplify right side
    12,006.04x = 127,562,002.40
  5. Step 5: Solve for x
    x = 127,562,002.40/12,006.04
  6. Step 6: Final answer
    x = 10,624.82

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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.