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Finding the Fourth Proportional to 12,385.84, 17,106.65 and 8,155.81

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Solution

The fourth proportional to 12,385.84, 17,106.65 and 8,155.81 is: 11,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.84 : 17,106.65 = 8,155.81 : x
  2. Step 2: Convert to fraction form
    12,385.84/17,106.65 = 8,155.81/x
  3. Step 3: Cross multiply
    12,385.84x = 17,106.65 × 8,155.81
  4. Step 4: Simplify right side
    12,385.84x = 139,518,607.53
  5. Step 5: Solve for x
    x = 139,518,607.53/12,385.84
  6. Step 6: Final answer
    x = 11,264.37

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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.