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Finding the Fourth Proportional to 13,547.30, 18,695.57 and 7,578.90

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Solution

The fourth proportional to 13,547.30, 18,695.57 and 7,578.90 is: 10,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.30 : 18,695.57 = 7,578.90 : x
  2. Step 2: Convert to fraction form
    13,547.30/18,695.57 = 7,578.90/x
  3. Step 3: Cross multiply
    13,547.30x = 18,695.57 × 7,578.90
  4. Step 4: Simplify right side
    13,547.30x = 141,691,817.58
  5. Step 5: Solve for x
    x = 141,691,817.58/13,547.30
  6. Step 6: Final answer
    x = 10,459.05

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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.