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Finding the Fourth Proportional to 16,378.28, 22,602.82 and 9,210.45

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Solution

The fourth proportional to 16,378.28, 22,602.82 and 9,210.45 is: 12,710.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378.28 : 22,602.82 = 9,210.45 : x
  2. Step 2: Convert to fraction form
    16,378.28/22,602.82 = 9,210.45/x
  3. Step 3: Cross multiply
    16,378.28x = 22,602.82 × 9,210.45
  4. Step 4: Simplify right side
    16,378.28x = 208,182,143.47
  5. Step 5: Solve for x
    x = 208,182,143.47/16,378.28
  6. Step 6: Final answer
    x = 12,710.87

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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.