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Finding the Fourth Proportional to 12,385.78, 17,106.57 and 8,155.75

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Solution

The fourth proportional to 12,385.78, 17,106.57 and 8,155.75 is: 11,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.78 : 17,106.57 = 8,155.75 : x
  2. Step 2: Convert to fraction form
    12,385.78/17,106.57 = 8,155.75/x
  3. Step 3: Cross multiply
    12,385.78x = 17,106.57 × 8,155.75
  4. Step 4: Simplify right side
    12,385.78x = 139,516,802.85
  5. Step 5: Solve for x
    x = 139,516,802.85/12,385.78
  6. Step 6: Final answer
    x = 11,264.28

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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.