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Finding the Fourth Proportional to 15,765.14, 23,605.98 and 9,516.80

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Solution

The fourth proportional to 15,765.14, 23,605.98 and 9,516.80 is: 14,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.14 : 23,605.98 = 9,516.80 : x
  2. Step 2: Convert to fraction form
    15,765.14/23,605.98 = 9,516.80/x
  3. Step 3: Cross multiply
    15,765.14x = 23,605.98 × 9,516.80
  4. Step 4: Simplify right side
    15,765.14x = 224,653,390.46
  5. Step 5: Solve for x
    x = 224,653,390.46/15,765.14
  6. Step 6: Final answer
    x = 14,250.01

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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.