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Finding the Fourth Proportional to 25,714.48, 38,545.35 and 12,550.63

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Solution

The fourth proportional to 25,714.48, 38,545.35 and 12,550.63 is: 18,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.48 : 38,545.35 = 12,550.63 : x
  2. Step 2: Convert to fraction form
    25,714.48/38,545.35 = 12,550.63/x
  3. Step 3: Cross multiply
    25,714.48x = 38,545.35 × 12,550.63
  4. Step 4: Simplify right side
    25,714.48x = 483,768,426.07
  5. Step 5: Solve for x
    x = 483,768,426.07/25,714.48
  6. Step 6: Final answer
    x = 18,813.07

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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.