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Finding the Fourth Proportional to 15,869.66, 23,809.14 and 7,102.62

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Solution

The fourth proportional to 15,869.66, 23,809.14 and 7,102.62 is: 10,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,869.66 : 23,809.14 = 7,102.62 : x
  2. Step 2: Convert to fraction form
    15,869.66/23,809.14 = 7,102.62/x
  3. Step 3: Cross multiply
    15,869.66x = 23,809.14 × 7,102.62
  4. Step 4: Simplify right side
    15,869.66x = 169,107,273.95
  5. Step 5: Solve for x
    x = 169,107,273.95/15,869.66
  6. Step 6: Final answer
    x = 10,656.01

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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.