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Finding the Fourth Proportional to 16,356.16, 22,572 and 9,281.92

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Solution

The fourth proportional to 16,356.16, 22,572 and 9,281.92 is: 12,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.16 : 22,572 = 9,281.92 : x
  2. Step 2: Convert to fraction form
    16,356.16/22,572 = 9,281.92/x
  3. Step 3: Cross multiply
    16,356.16x = 22,572 × 9,281.92
  4. Step 4: Simplify right side
    16,356.16x = 209,511,498.24
  5. Step 5: Solve for x
    x = 209,511,498.24/16,356.16
  6. Step 6: Final answer
    x = 12,809.33

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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.