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Finding the Fourth Proportional to 23,065.47, 34,598.25 and 8,275.32

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Solution

The fourth proportional to 23,065.47, 34,598.25 and 8,275.32 is: 12,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.47 : 34,598.25 = 8,275.32 : x
  2. Step 2: Convert to fraction form
    23,065.47/34,598.25 = 8,275.32/x
  3. Step 3: Cross multiply
    23,065.47x = 34,598.25 × 8,275.32
  4. Step 4: Simplify right side
    23,065.47x = 286,311,590.19
  5. Step 5: Solve for x
    x = 286,311,590.19/23,065.47
  6. Step 6: Final answer
    x = 12,413.00

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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.