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Finding the Fourth Proportional to 20,871.18, 31,308.70 and 7,547.50

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Solution

The fourth proportional to 20,871.18, 31,308.70 and 7,547.50 is: 11,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,871.18 : 31,308.70 = 7,547.50 : x
  2. Step 2: Convert to fraction form
    20,871.18/31,308.70 = 7,547.50/x
  3. Step 3: Cross multiply
    20,871.18x = 31,308.70 × 7,547.50
  4. Step 4: Simplify right side
    20,871.18x = 236,302,413.25
  5. Step 5: Solve for x
    x = 236,302,413.25/20,871.18
  6. Step 6: Final answer
    x = 11,321.95

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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.