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Finding the Fourth Proportional to 14,547.24, 20,078.82 and 8,955

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Solution

The fourth proportional to 14,547.24, 20,078.82 and 8,955 is: 12,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.24 : 20,078.82 = 8,955 : x
  2. Step 2: Convert to fraction form
    14,547.24/20,078.82 = 8,955/x
  3. Step 3: Cross multiply
    14,547.24x = 20,078.82 × 8,955
  4. Step 4: Simplify right side
    14,547.24x = 179,805,833.10
  5. Step 5: Solve for x
    x = 179,805,833.10/14,547.24
  6. Step 6: Final answer
    x = 12,360.13

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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.