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Finding the Fourth Proportional to 14,897.76, 22,327.46 and 7,877.50

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Solution

The fourth proportional to 14,897.76, 22,327.46 and 7,877.50 is: 11,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.76 : 22,327.46 = 7,877.50 : x
  2. Step 2: Convert to fraction form
    14,897.76/22,327.46 = 7,877.50/x
  3. Step 3: Cross multiply
    14,897.76x = 22,327.46 × 7,877.50
  4. Step 4: Simplify right side
    14,897.76x = 175,884,566.15
  5. Step 5: Solve for x
    x = 175,884,566.15/14,897.76
  6. Step 6: Final answer
    x = 11,806.11

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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.