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Finding the Fourth Proportional to 27,854, 38,433.80 and 18,417.52

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Solution

The fourth proportional to 27,854, 38,433.80 and 18,417.52 is: 25,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854 : 38,433.80 = 18,417.52 : x
  2. Step 2: Convert to fraction form
    27,854/38,433.80 = 18,417.52/x
  3. Step 3: Cross multiply
    27,854x = 38,433.80 × 18,417.52
  4. Step 4: Simplify right side
    27,854x = 707,855,280.18
  5. Step 5: Solve for x
    x = 707,855,280.18/27,854
  6. Step 6: Final answer
    x = 25,413.06

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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.