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Finding the Fourth Proportional to 12,953.13, 19,430.03 and 9,686.96

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Solution

The fourth proportional to 12,953.13, 19,430.03 and 9,686.96 is: 14,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.13 : 19,430.03 = 9,686.96 : x
  2. Step 2: Convert to fraction form
    12,953.13/19,430.03 = 9,686.96/x
  3. Step 3: Cross multiply
    12,953.13x = 19,430.03 × 9,686.96
  4. Step 4: Simplify right side
    12,953.13x = 188,217,868.85
  5. Step 5: Solve for x
    x = 188,217,868.85/12,953.13
  6. Step 6: Final answer
    x = 14,530.68

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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.