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Finding the Fourth Proportional to 15,243.16, 22,866.26 and 6,007

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Solution

The fourth proportional to 15,243.16, 22,866.26 and 6,007 is: 9,011.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243.16 : 22,866.26 = 6,007 : x
  2. Step 2: Convert to fraction form
    15,243.16/22,866.26 = 6,007/x
  3. Step 3: Cross multiply
    15,243.16x = 22,866.26 × 6,007
  4. Step 4: Simplify right side
    15,243.16x = 137,357,623.82
  5. Step 5: Solve for x
    x = 137,357,623.82/15,243.16
  6. Step 6: Final answer
    x = 9,011.10

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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.