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Finding the Fourth Proportional to 12,565.49, 17,342.73 and 8,316.77

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Solution

The fourth proportional to 12,565.49, 17,342.73 and 8,316.77 is: 11,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.49 : 17,342.73 = 8,316.77 : x
  2. Step 2: Convert to fraction form
    12,565.49/17,342.73 = 8,316.77/x
  3. Step 3: Cross multiply
    12,565.49x = 17,342.73 × 8,316.77
  4. Step 4: Simplify right side
    12,565.49x = 144,235,409.87
  5. Step 5: Solve for x
    x = 144,235,409.87/12,565.49
  6. Step 6: Final answer
    x = 11,478.70

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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.