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Finding the Fourth Proportional to 25,952.74, 38,953.32 and 13,311.98

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Solution

The fourth proportional to 25,952.74, 38,953.32 and 13,311.98 is: 19,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952.74 : 38,953.32 = 13,311.98 : x
  2. Step 2: Convert to fraction form
    25,952.74/38,953.32 = 13,311.98/x
  3. Step 3: Cross multiply
    25,952.74x = 38,953.32 × 13,311.98
  4. Step 4: Simplify right side
    25,952.74x = 518,545,750.21
  5. Step 5: Solve for x
    x = 518,545,750.21/25,952.74
  6. Step 6: Final answer
    x = 19,980.39

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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.