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Finding the Fourth Proportional to 25,411.25, 38,117.93 and 9,614.70

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Solution

The fourth proportional to 25,411.25, 38,117.93 and 9,614.70 is: 14,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,411.25 : 38,117.93 = 9,614.70 : x
  2. Step 2: Convert to fraction form
    25,411.25/38,117.93 = 9,614.70/x
  3. Step 3: Cross multiply
    25,411.25x = 38,117.93 × 9,614.70
  4. Step 4: Simplify right side
    25,411.25x = 366,492,413.50
  5. Step 5: Solve for x
    x = 366,492,413.50/25,411.25
  6. Step 6: Final answer
    x = 14,422.45

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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.