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Finding the Fourth Proportional to 15,854.85, 23,782.50 and 7,535.71

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Solution

The fourth proportional to 15,854.85, 23,782.50 and 7,535.71 is: 11,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.85 : 23,782.50 = 7,535.71 : x
  2. Step 2: Convert to fraction form
    15,854.85/23,782.50 = 7,535.71/x
  3. Step 3: Cross multiply
    15,854.85x = 23,782.50 × 7,535.71
  4. Step 4: Simplify right side
    15,854.85x = 179,218,023.08
  5. Step 5: Solve for x
    x = 179,218,023.08/15,854.85
  6. Step 6: Final answer
    x = 11,303.67

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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.