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Finding the Fourth Proportional to 28,031.60, 38,682.14 and 17,421

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Solution

The fourth proportional to 28,031.60, 38,682.14 and 17,421 is: 24,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,031.60 : 38,682.14 = 17,421 : x
  2. Step 2: Convert to fraction form
    28,031.60/38,682.14 = 17,421/x
  3. Step 3: Cross multiply
    28,031.60x = 38,682.14 × 17,421
  4. Step 4: Simplify right side
    28,031.60x = 673,881,560.94
  5. Step 5: Solve for x
    x = 673,881,560.94/28,031.60
  6. Step 6: Final answer
    x = 24,040.07

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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.