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Finding the Fourth Proportional to 25,897.51, 38,854.41 and 9,257.19

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Solution

The fourth proportional to 25,897.51, 38,854.41 and 9,257.19 is: 13,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.51 : 38,854.41 = 9,257.19 : x
  2. Step 2: Convert to fraction form
    25,897.51/38,854.41 = 9,257.19/x
  3. Step 3: Cross multiply
    25,897.51x = 38,854.41 × 9,257.19
  4. Step 4: Simplify right side
    25,897.51x = 359,682,655.71
  5. Step 5: Solve for x
    x = 359,682,655.71/25,897.51
  6. Step 6: Final answer
    x = 13,888.70

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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.