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Finding the Fourth Proportional to 15,806.59, 23,711.10 and 4,712.41

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Solution

The fourth proportional to 15,806.59, 23,711.10 and 4,712.41 is: 7,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.59 : 23,711.10 = 4,712.41 : x
  2. Step 2: Convert to fraction form
    15,806.59/23,711.10 = 4,712.41/x
  3. Step 3: Cross multiply
    15,806.59x = 23,711.10 × 4,712.41
  4. Step 4: Simplify right side
    15,806.59x = 111,736,424.75
  5. Step 5: Solve for x
    x = 111,736,424.75/15,806.59
  6. Step 6: Final answer
    x = 7,068.98

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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.