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Finding the Fourth Proportional to 14,081.64, 19,424.16 and 9,044.16

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Solution

The fourth proportional to 14,081.64, 19,424.16 and 9,044.16 is: 12,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.64 : 19,424.16 = 9,044.16 : x
  2. Step 2: Convert to fraction form
    14,081.64/19,424.16 = 9,044.16/x
  3. Step 3: Cross multiply
    14,081.64x = 19,424.16 × 9,044.16
  4. Step 4: Simplify right side
    14,081.64x = 175,675,210.91
  5. Step 5: Solve for x
    x = 175,675,210.91/14,081.64
  6. Step 6: Final answer
    x = 12,475.48

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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.