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Finding the Fourth Proportional to 15,641.64, 23,465.22 and 5,109.72

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Solution

The fourth proportional to 15,641.64, 23,465.22 and 5,109.72 is: 7,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.64 : 23,465.22 = 5,109.72 : x
  2. Step 2: Convert to fraction form
    15,641.64/23,465.22 = 5,109.72/x
  3. Step 3: Cross multiply
    15,641.64x = 23,465.22 × 5,109.72
  4. Step 4: Simplify right side
    15,641.64x = 119,900,703.94
  5. Step 5: Solve for x
    x = 119,900,703.94/15,641.64
  6. Step 6: Final answer
    x = 7,665.48

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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.