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Finding the Fourth Proportional to 13,290.57, 18,338.99 and 7,547.13

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Solution

The fourth proportional to 13,290.57, 18,338.99 and 7,547.13 is: 10,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,290.57 : 18,338.99 = 7,547.13 : x
  2. Step 2: Convert to fraction form
    13,290.57/18,338.99 = 7,547.13/x
  3. Step 3: Cross multiply
    13,290.57x = 18,338.99 × 7,547.13
  4. Step 4: Simplify right side
    13,290.57x = 138,406,703.86
  5. Step 5: Solve for x
    x = 138,406,703.86/13,290.57
  6. Step 6: Final answer
    x = 10,413.90

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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.