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Finding the Fourth Proportional to 14,144.93, 19,533.05 and 9,117.82

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Solution

The fourth proportional to 14,144.93, 19,533.05 and 9,117.82 is: 12,591.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.93 : 19,533.05 = 9,117.82 : x
  2. Step 2: Convert to fraction form
    14,144.93/19,533.05 = 9,117.82/x
  3. Step 3: Cross multiply
    14,144.93x = 19,533.05 × 9,117.82
  4. Step 4: Simplify right side
    14,144.93x = 178,098,737.10
  5. Step 5: Solve for x
    x = 178,098,737.10/14,144.93
  6. Step 6: Final answer
    x = 12,591.00

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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.