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Finding the Fourth Proportional to 15,205.46, 22,798.86 and 5,345.87

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Solution

The fourth proportional to 15,205.46, 22,798.86 and 5,345.87 is: 8,015.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.46 : 22,798.86 = 5,345.87 : x
  2. Step 2: Convert to fraction form
    15,205.46/22,798.86 = 5,345.87/x
  3. Step 3: Cross multiply
    15,205.46x = 22,798.86 × 5,345.87
  4. Step 4: Simplify right side
    15,205.46x = 121,879,741.71
  5. Step 5: Solve for x
    x = 121,879,741.71/15,205.46
  6. Step 6: Final answer
    x = 8,015.52

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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.