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Finding the Fourth Proportional to 13,057.59, 19,587.35 and 4,737.65

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Solution

The fourth proportional to 13,057.59, 19,587.35 and 4,737.65 is: 7,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,057.59 : 19,587.35 = 4,737.65 : x
  2. Step 2: Convert to fraction form
    13,057.59/19,587.35 = 4,737.65/x
  3. Step 3: Cross multiply
    13,057.59x = 19,587.35 × 4,737.65
  4. Step 4: Simplify right side
    13,057.59x = 92,797,887.10
  5. Step 5: Solve for x
    x = 92,797,887.10/13,057.59
  6. Step 6: Final answer
    x = 7,106.82

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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.