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Finding the Fourth Proportional to 12,275.72, 18,413.58 and 5,698.32

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Solution

The fourth proportional to 12,275.72, 18,413.58 and 5,698.32 is: 8,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.72 : 18,413.58 = 5,698.32 : x
  2. Step 2: Convert to fraction form
    12,275.72/18,413.58 = 5,698.32/x
  3. Step 3: Cross multiply
    12,275.72x = 18,413.58 × 5,698.32
  4. Step 4: Simplify right side
    12,275.72x = 104,926,471.19
  5. Step 5: Solve for x
    x = 104,926,471.19/12,275.72
  6. Step 6: Final answer
    x = 8,547.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.