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Finding the Fourth Proportional to 14,358.96, 21,534.84 and 10,186.80

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Solution

The fourth proportional to 14,358.96, 21,534.84 and 10,186.80 is: 15,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358.96 : 21,534.84 = 10,186.80 : x
  2. Step 2: Convert to fraction form
    14,358.96/21,534.84 = 10,186.80/x
  3. Step 3: Cross multiply
    14,358.96x = 21,534.84 × 10,186.80
  4. Step 4: Simplify right side
    14,358.96x = 219,371,108.11
  5. Step 5: Solve for x
    x = 219,371,108.11/14,358.96
  6. Step 6: Final answer
    x = 15,277.65

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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.