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Finding the Fourth Proportional to 13,532, 20,302.64 and 7,292.68

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Solution

The fourth proportional to 13,532, 20,302.64 and 7,292.68 is: 10,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,532 : 20,302.64 = 7,292.68 : x
  2. Step 2: Convert to fraction form
    13,532/20,302.64 = 7,292.68/x
  3. Step 3: Cross multiply
    13,532x = 20,302.64 × 7,292.68
  4. Step 4: Simplify right side
    13,532x = 148,060,656.68
  5. Step 5: Solve for x
    x = 148,060,656.68/13,532
  6. Step 6: Final answer
    x = 10,941.52

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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.