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Finding the Fourth Proportional to 25,699.74, 35,462.79 and 14,521.74

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Solution

The fourth proportional to 25,699.74, 35,462.79 and 14,521.74 is: 20,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,699.74 : 35,462.79 = 14,521.74 : x
  2. Step 2: Convert to fraction form
    25,699.74/35,462.79 = 14,521.74/x
  3. Step 3: Cross multiply
    25,699.74x = 35,462.79 × 14,521.74
  4. Step 4: Simplify right side
    25,699.74x = 514,981,416.05
  5. Step 5: Solve for x
    x = 514,981,416.05/25,699.74
  6. Step 6: Final answer
    x = 20,038.39

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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.