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Finding the Fourth Proportional to 13,588.16, 20,377.92 and 4,352

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Solution

The fourth proportional to 13,588.16, 20,377.92 and 4,352 is: 6,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.16 : 20,377.92 = 4,352 : x
  2. Step 2: Convert to fraction form
    13,588.16/20,377.92 = 4,352/x
  3. Step 3: Cross multiply
    13,588.16x = 20,377.92 × 4,352
  4. Step 4: Simplify right side
    13,588.16x = 88,684,707.84
  5. Step 5: Solve for x
    x = 88,684,707.84/13,588.16
  6. Step 6: Final answer
    x = 6,526.62

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Why These Related Problems?

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