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Finding the Fourth Proportional to 17,742.92, 24,484.40 and 10,184

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Solution

The fourth proportional to 17,742.92, 24,484.40 and 10,184 is: 14,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.92 : 24,484.40 = 10,184 : x
  2. Step 2: Convert to fraction form
    17,742.92/24,484.40 = 10,184/x
  3. Step 3: Cross multiply
    17,742.92x = 24,484.40 × 10,184
  4. Step 4: Simplify right side
    17,742.92x = 249,349,129.60
  5. Step 5: Solve for x
    x = 249,349,129.60/17,742.92
  6. Step 6: Final answer
    x = 14,053.44

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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.