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Finding the Fourth Proportional to 25,538.16, 38,303.16 and 13,067.40

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Solution

The fourth proportional to 25,538.16, 38,303.16 and 13,067.40 is: 19,599.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538.16 : 38,303.16 = 13,067.40 : x
  2. Step 2: Convert to fraction form
    25,538.16/38,303.16 = 13,067.40/x
  3. Step 3: Cross multiply
    25,538.16x = 38,303.16 × 13,067.40
  4. Step 4: Simplify right side
    25,538.16x = 500,522,712.98
  5. Step 5: Solve for x
    x = 500,522,712.98/25,538.16
  6. Step 6: Final answer
    x = 19,599.01

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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.