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Finding the Fourth Proportional to 23,502.99, 35,271.70 and 14,631.31

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Solution

The fourth proportional to 23,502.99, 35,271.70 and 14,631.31 is: 21,957.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.99 : 35,271.70 = 14,631.31 : x
  2. Step 2: Convert to fraction form
    23,502.99/35,271.70 = 14,631.31/x
  3. Step 3: Cross multiply
    23,502.99x = 35,271.70 × 14,631.31
  4. Step 4: Simplify right side
    23,502.99x = 516,071,052.17
  5. Step 5: Solve for x
    x = 516,071,052.17/23,502.99
  6. Step 6: Final answer
    x = 21,957.68

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Why These Related Problems?

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