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Finding the Fourth Proportional to 26,502.58, 36,574.50 and 14,566.42

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Solution

The fourth proportional to 26,502.58, 36,574.50 and 14,566.42 is: 20,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502.58 : 36,574.50 = 14,566.42 : x
  2. Step 2: Convert to fraction form
    26,502.58/36,574.50 = 14,566.42/x
  3. Step 3: Cross multiply
    26,502.58x = 36,574.50 × 14,566.42
  4. Step 4: Simplify right side
    26,502.58x = 532,759,528.29
  5. Step 5: Solve for x
    x = 532,759,528.29/26,502.58
  6. Step 6: Final answer
    x = 20,102.18

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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.