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Finding the Fourth Proportional to 16,275.68, 24,413.52 and 5,885.00

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Solution

The fourth proportional to 16,275.68, 24,413.52 and 5,885.00 is: 8,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.68 : 24,413.52 = 5,885.00 : x
  2. Step 2: Convert to fraction form
    16,275.68/24,413.52 = 5,885.00/x
  3. Step 3: Cross multiply
    16,275.68x = 24,413.52 × 5,885.00
  4. Step 4: Simplify right side
    16,275.68x = 143,673,443.13
  5. Step 5: Solve for x
    x = 143,673,443.13/16,275.68
  6. Step 6: Final answer
    x = 8,827.50

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Why These Related Problems?

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