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Finding the Fourth Proportional to 14,031.60, 19,363.73 and 7,658.25

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Solution

The fourth proportional to 14,031.60, 19,363.73 and 7,658.25 is: 10,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.60 : 19,363.73 = 7,658.25 : x
  2. Step 2: Convert to fraction form
    14,031.60/19,363.73 = 7,658.25/x
  3. Step 3: Cross multiply
    14,031.60x = 19,363.73 × 7,658.25
  4. Step 4: Simplify right side
    14,031.60x = 148,292,285.27
  5. Step 5: Solve for x
    x = 148,292,285.27/14,031.60
  6. Step 6: Final answer
    x = 10,568.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.