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Finding the Fourth Proportional to 15,205.91, 22,810.95 and 5,342.93

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Solution

The fourth proportional to 15,205.91, 22,810.95 and 5,342.93 is: 8,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.91 : 22,810.95 = 5,342.93 : x
  2. Step 2: Convert to fraction form
    15,205.91/22,810.95 = 5,342.93/x
  3. Step 3: Cross multiply
    15,205.91x = 22,810.95 × 5,342.93
  4. Step 4: Simplify right side
    15,205.91x = 121,877,309.08
  5. Step 5: Solve for x
    x = 121,877,309.08/15,205.91
  6. Step 6: Final answer
    x = 8,015.13

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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.