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Finding the Fourth Proportional to 10,597.40, 15,879.90 and 10,014.20

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Solution

The fourth proportional to 10,597.40, 15,879.90 and 10,014.20 is: 15,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.40 : 15,879.90 = 10,014.20 : x
  2. Step 2: Convert to fraction form
    10,597.40/15,879.90 = 10,014.20/x
  3. Step 3: Cross multiply
    10,597.40x = 15,879.90 × 10,014.20
  4. Step 4: Simplify right side
    10,597.40x = 159,024,494.58
  5. Step 5: Solve for x
    x = 159,024,494.58/10,597.40
  6. Step 6: Final answer
    x = 15,005.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.