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Finding the Fourth Proportional to 21,587.64, 32,384.34 and 7,545.57

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Solution

The fourth proportional to 21,587.64, 32,384.34 and 7,545.57 is: 11,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,587.64 : 32,384.34 = 7,545.57 : x
  2. Step 2: Convert to fraction form
    21,587.64/32,384.34 = 7,545.57/x
  3. Step 3: Cross multiply
    21,587.64x = 32,384.34 × 7,545.57
  4. Step 4: Simplify right side
    21,587.64x = 244,358,304.37
  5. Step 5: Solve for x
    x = 244,358,304.37/21,587.64
  6. Step 6: Final answer
    x = 11,319.36

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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.