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Finding the Fourth Proportional to 13,701.76, 20,549.76 and 4,935.52

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Solution

The fourth proportional to 13,701.76, 20,549.76 and 4,935.52 is: 7,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.76 : 20,549.76 = 4,935.52 : x
  2. Step 2: Convert to fraction form
    13,701.76/20,549.76 = 4,935.52/x
  3. Step 3: Cross multiply
    13,701.76x = 20,549.76 × 4,935.52
  4. Step 4: Simplify right side
    13,701.76x = 101,423,751.48
  5. Step 5: Solve for x
    x = 101,423,751.48/13,701.76
  6. Step 6: Final answer
    x = 7,402.24

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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.