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Finding the Fourth Proportional to 25,216.40, 37,826.40 and 7,686.24

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Solution

The fourth proportional to 25,216.40, 37,826.40 and 7,686.24 is: 11,529.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,216.40 : 37,826.40 = 7,686.24 : x
  2. Step 2: Convert to fraction form
    25,216.40/37,826.40 = 7,686.24/x
  3. Step 3: Cross multiply
    25,216.40x = 37,826.40 × 7,686.24
  4. Step 4: Simplify right side
    25,216.40x = 290,742,788.74
  5. Step 5: Solve for x
    x = 290,742,788.74/25,216.40
  6. Step 6: Final answer
    x = 11,529.91

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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.