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Finding the Fourth Proportional to 14,443.47, 19,931.86 and 8,071.16

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Solution

The fourth proportional to 14,443.47, 19,931.86 and 8,071.16 is: 11,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.47 : 19,931.86 = 8,071.16 : x
  2. Step 2: Convert to fraction form
    14,443.47/19,931.86 = 8,071.16/x
  3. Step 3: Cross multiply
    14,443.47x = 19,931.86 × 8,071.16
  4. Step 4: Simplify right side
    14,443.47x = 160,873,275.71
  5. Step 5: Solve for x
    x = 160,873,275.71/14,443.47
  6. Step 6: Final answer
    x = 11,138.13

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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.