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Finding the Fourth Proportional to 18,106.61, 24,985.74 and 10,147.76

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Solution

The fourth proportional to 18,106.61, 24,985.74 and 10,147.76 is: 14,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.61 : 24,985.74 = 10,147.76 : x
  2. Step 2: Convert to fraction form
    18,106.61/24,985.74 = 10,147.76/x
  3. Step 3: Cross multiply
    18,106.61x = 24,985.74 × 10,147.76
  4. Step 4: Simplify right side
    18,106.61x = 253,549,292.94
  5. Step 5: Solve for x
    x = 253,549,292.94/18,106.61
  6. Step 6: Final answer
    x = 14,003.13

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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.