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Finding the Fourth Proportional to 16,182.83, 22,339.72 and 10,448.69

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Solution

The fourth proportional to 16,182.83, 22,339.72 and 10,448.69 is: 14,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.83 : 22,339.72 = 10,448.69 : x
  2. Step 2: Convert to fraction form
    16,182.83/22,339.72 = 10,448.69/x
  3. Step 3: Cross multiply
    16,182.83x = 22,339.72 × 10,448.69
  4. Step 4: Simplify right side
    16,182.83x = 233,420,829.50
  5. Step 5: Solve for x
    x = 233,420,829.50/16,182.83
  6. Step 6: Final answer
    x = 14,423.98

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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.