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Finding the Fourth Proportional to 12,565.55, 17,341.85 and 8,032.41

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Solution

The fourth proportional to 12,565.55, 17,341.85 and 8,032.41 is: 11,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.55 : 17,341.85 = 8,032.41 : x
  2. Step 2: Convert to fraction form
    12,565.55/17,341.85 = 8,032.41/x
  3. Step 3: Cross multiply
    12,565.55x = 17,341.85 × 8,032.41
  4. Step 4: Simplify right side
    12,565.55x = 139,296,809.20
  5. Step 5: Solve for x
    x = 139,296,809.20/12,565.55
  6. Step 6: Final answer
    x = 11,085.62

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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.