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Finding the Fourth Proportional to 14,151.70, 19,530.21 and 7,864.02

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Solution

The fourth proportional to 14,151.70, 19,530.21 and 7,864.02 is: 10,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,151.70 : 19,530.21 = 7,864.02 : x
  2. Step 2: Convert to fraction form
    14,151.70/19,530.21 = 7,864.02/x
  3. Step 3: Cross multiply
    14,151.70x = 19,530.21 × 7,864.02
  4. Step 4: Simplify right side
    14,151.70x = 153,585,962.04
  5. Step 5: Solve for x
    x = 153,585,962.04/14,151.70
  6. Step 6: Final answer
    x = 10,852.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.