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Finding the Fourth Proportional to 17,820.66, 24,589.80 and 10,164

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Solution

The fourth proportional to 17,820.66, 24,589.80 and 10,164 is: 14,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.66 : 24,589.80 = 10,164 : x
  2. Step 2: Convert to fraction form
    17,820.66/24,589.80 = 10,164/x
  3. Step 3: Cross multiply
    17,820.66x = 24,589.80 × 10,164
  4. Step 4: Simplify right side
    17,820.66x = 249,930,727.20
  5. Step 5: Solve for x
    x = 249,930,727.20/17,820.66
  6. Step 6: Final answer
    x = 14,024.77

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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.