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Finding the Fourth Proportional to 19,870.66, 29,814.16 and 9,475.78

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Solution

The fourth proportional to 19,870.66, 29,814.16 and 9,475.78 is: 14,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.66 : 29,814.16 = 9,475.78 : x
  2. Step 2: Convert to fraction form
    19,870.66/29,814.16 = 9,475.78/x
  3. Step 3: Cross multiply
    19,870.66x = 29,814.16 × 9,475.78
  4. Step 4: Simplify right side
    19,870.66x = 282,512,421.04
  5. Step 5: Solve for x
    x = 282,512,421.04/19,870.66
  6. Step 6: Final answer
    x = 14,217.57

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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.