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Finding the Fourth Proportional to 14,547.60, 20,073.26 and 8,578.44

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Solution

The fourth proportional to 14,547.60, 20,073.26 and 8,578.44 is: 11,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.60 : 20,073.26 = 8,578.44 : x
  2. Step 2: Convert to fraction form
    14,547.60/20,073.26 = 8,578.44/x
  3. Step 3: Cross multiply
    14,547.60x = 20,073.26 × 8,578.44
  4. Step 4: Simplify right side
    14,547.60x = 172,197,256.51
  5. Step 5: Solve for x
    x = 172,197,256.51/14,547.60
  6. Step 6: Final answer
    x = 11,836.82

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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.