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Finding the Fourth Proportional to 12,159.25, 18,220.64 and 9,381.76

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Solution

The fourth proportional to 12,159.25, 18,220.64 and 9,381.76 is: 14,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.25 : 18,220.64 = 9,381.76 : x
  2. Step 2: Convert to fraction form
    12,159.25/18,220.64 = 9,381.76/x
  3. Step 3: Cross multiply
    12,159.25x = 18,220.64 × 9,381.76
  4. Step 4: Simplify right side
    12,159.25x = 170,941,671.53
  5. Step 5: Solve for x
    x = 170,941,671.53/12,159.25
  6. Step 6: Final answer
    x = 14,058.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.