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Finding the Fourth Proportional to 14,897.70, 22,338.90 and 7,881.50

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Solution

The fourth proportional to 14,897.70, 22,338.90 and 7,881.50 is: 11,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.70 : 22,338.90 = 7,881.50 : x
  2. Step 2: Convert to fraction form
    14,897.70/22,338.90 = 7,881.50/x
  3. Step 3: Cross multiply
    14,897.70x = 22,338.90 × 7,881.50
  4. Step 4: Simplify right side
    14,897.70x = 176,064,040.35
  5. Step 5: Solve for x
    x = 176,064,040.35/14,897.70
  6. Step 6: Final answer
    x = 11,818.20

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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.