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Finding the Fourth Proportional to 15,106.50, 22,661.03 and 4,162.50

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Solution

The fourth proportional to 15,106.50, 22,661.03 and 4,162.50 is: 6,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106.50 : 22,661.03 = 4,162.50 : x
  2. Step 2: Convert to fraction form
    15,106.50/22,661.03 = 4,162.50/x
  3. Step 3: Cross multiply
    15,106.50x = 22,661.03 × 4,162.50
  4. Step 4: Simplify right side
    15,106.50x = 94,326,537.38
  5. Step 5: Solve for x
    x = 94,326,537.38/15,106.50
  6. Step 6: Final answer
    x = 6,244.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.