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Finding the Fourth Proportional to 14,360.92, 21,533.76 and 5,587

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Solution

The fourth proportional to 14,360.92, 21,533.76 and 5,587 is: 8,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,360.92 : 21,533.76 = 5,587 : x
  2. Step 2: Convert to fraction form
    14,360.92/21,533.76 = 5,587/x
  3. Step 3: Cross multiply
    14,360.92x = 21,533.76 × 5,587
  4. Step 4: Simplify right side
    14,360.92x = 120,309,117.12
  5. Step 5: Solve for x
    x = 120,309,117.12/14,360.92
  6. Step 6: Final answer
    x = 8,377.54

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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.