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Finding the Fourth Proportional to 14,060.40, 19,407.96 and 9,869.68

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Solution

The fourth proportional to 14,060.40, 19,407.96 and 9,869.68 is: 13,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,060.40 : 19,407.96 = 9,869.68 : x
  2. Step 2: Convert to fraction form
    14,060.40/19,407.96 = 9,869.68/x
  3. Step 3: Cross multiply
    14,060.40x = 19,407.96 × 9,869.68
  4. Step 4: Simplify right side
    14,060.40x = 191,550,354.65
  5. Step 5: Solve for x
    x = 191,550,354.65/14,060.40
  6. Step 6: Final answer
    x = 13,623.39

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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.