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Finding the Fourth Proportional to 16,002.84, 22,077.76 and 10,024.10

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Solution

The fourth proportional to 16,002.84, 22,077.76 and 10,024.10 is: 13,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.84 : 22,077.76 = 10,024.10 : x
  2. Step 2: Convert to fraction form
    16,002.84/22,077.76 = 10,024.10/x
  3. Step 3: Cross multiply
    16,002.84x = 22,077.76 × 10,024.10
  4. Step 4: Simplify right side
    16,002.84x = 221,309,674.02
  5. Step 5: Solve for x
    x = 221,309,674.02/16,002.84
  6. Step 6: Final answer
    x = 13,829.40

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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.