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Finding the Fourth Proportional to 25,524.16, 38,282.16 and 13,053.40

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Solution

The fourth proportional to 25,524.16, 38,282.16 and 13,053.40 is: 19,578.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.16 : 38,282.16 = 13,053.40 : x
  2. Step 2: Convert to fraction form
    25,524.16/38,282.16 = 13,053.40/x
  3. Step 3: Cross multiply
    25,524.16x = 38,282.16 × 13,053.40
  4. Step 4: Simplify right side
    25,524.16x = 499,712,347.34
  5. Step 5: Solve for x
    x = 499,712,347.34/25,524.16
  6. Step 6: Final answer
    x = 19,578.01

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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.