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Finding the Fourth Proportional to 13,052, 19,534.25 and 10,711.91

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Solution

The fourth proportional to 13,052, 19,534.25 and 10,711.91 is: 16,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052 : 19,534.25 = 10,711.91 : x
  2. Step 2: Convert to fraction form
    13,052/19,534.25 = 10,711.91/x
  3. Step 3: Cross multiply
    13,052x = 19,534.25 × 10,711.91
  4. Step 4: Simplify right side
    13,052x = 209,249,127.92
  5. Step 5: Solve for x
    x = 209,249,127.92/13,052
  6. Step 6: Final answer
    x = 16,031.96

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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.