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Finding the Fourth Proportional to 16,549.96, 22,842.54 and 10,182.01

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Solution

The fourth proportional to 16,549.96, 22,842.54 and 10,182.01 is: 14,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.96 : 22,842.54 = 10,182.01 : x
  2. Step 2: Convert to fraction form
    16,549.96/22,842.54 = 10,182.01/x
  3. Step 3: Cross multiply
    16,549.96x = 22,842.54 × 10,182.01
  4. Step 4: Simplify right side
    16,549.96x = 232,582,970.71
  5. Step 5: Solve for x
    x = 232,582,970.71/16,549.96
  6. Step 6: Final answer
    x = 14,053.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.