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Finding the Fourth Proportional to 21,005.80, 31,497.76 and 9,909.51

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Solution

The fourth proportional to 21,005.80, 31,497.76 and 9,909.51 is: 14,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.80 : 31,497.76 = 9,909.51 : x
  2. Step 2: Convert to fraction form
    21,005.80/31,497.76 = 9,909.51/x
  3. Step 3: Cross multiply
    21,005.80x = 31,497.76 × 9,909.51
  4. Step 4: Simplify right side
    21,005.80x = 312,127,367.70
  5. Step 5: Solve for x
    x = 312,127,367.70/21,005.80
  6. Step 6: Final answer
    x = 14,859.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.