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Finding the Fourth Proportional to 14,123.38, 19,488.18 and 7,835.80

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Solution

The fourth proportional to 14,123.38, 19,488.18 and 7,835.80 is: 10,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.38 : 19,488.18 = 7,835.80 : x
  2. Step 2: Convert to fraction form
    14,123.38/19,488.18 = 7,835.80/x
  3. Step 3: Cross multiply
    14,123.38x = 19,488.18 × 7,835.80
  4. Step 4: Simplify right side
    14,123.38x = 152,705,480.84
  5. Step 5: Solve for x
    x = 152,705,480.84/14,123.38
  6. Step 6: Final answer
    x = 10,812.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.