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Finding the Fourth Proportional to 25,870.74, 38,804.28 and 9,228.89

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Solution

The fourth proportional to 25,870.74, 38,804.28 and 9,228.89 is: 13,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870.74 : 38,804.28 = 9,228.89 : x
  2. Step 2: Convert to fraction form
    25,870.74/38,804.28 = 9,228.89/x
  3. Step 3: Cross multiply
    25,870.74x = 38,804.28 × 9,228.89
  4. Step 4: Simplify right side
    25,870.74x = 358,120,237.63
  5. Step 5: Solve for x
    x = 358,120,237.63/25,870.74
  6. Step 6: Final answer
    x = 13,842.67

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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.