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Finding the Fourth Proportional to 16,252.83, 22,430.48 and 9,878.02

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Solution

The fourth proportional to 16,252.83, 22,430.48 and 9,878.02 is: 13,632.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,252.83 : 22,430.48 = 9,878.02 : x
  2. Step 2: Convert to fraction form
    16,252.83/22,430.48 = 9,878.02/x
  3. Step 3: Cross multiply
    16,252.83x = 22,430.48 × 9,878.02
  4. Step 4: Simplify right side
    16,252.83x = 221,568,624.58
  5. Step 5: Solve for x
    x = 221,568,624.58/16,252.83
  6. Step 6: Final answer
    x = 13,632.62

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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.