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Finding the Fourth Proportional to 15,111.02, 22,658.71 and 6,783.87

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Solution

The fourth proportional to 15,111.02, 22,658.71 and 6,783.87 is: 10,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.02 : 22,658.71 = 6,783.87 : x
  2. Step 2: Convert to fraction form
    15,111.02/22,658.71 = 6,783.87/x
  3. Step 3: Cross multiply
    15,111.02x = 22,658.71 × 6,783.87
  4. Step 4: Simplify right side
    15,111.02x = 153,713,743.01
  5. Step 5: Solve for x
    x = 153,713,743.01/15,111.02
  6. Step 6: Final answer
    x = 10,172.29

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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.