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Finding the Fourth Proportional to 15,239.16, 22,853.82 and 4,848.48

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Solution

The fourth proportional to 15,239.16, 22,853.82 and 4,848.48 is: 7,271.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,239.16 : 22,853.82 = 4,848.48 : x
  2. Step 2: Convert to fraction form
    15,239.16/22,853.82 = 4,848.48/x
  3. Step 3: Cross multiply
    15,239.16x = 22,853.82 × 4,848.48
  4. Step 4: Simplify right side
    15,239.16x = 110,806,289.19
  5. Step 5: Solve for x
    x = 110,806,289.19/15,239.16
  6. Step 6: Final answer
    x = 7,271.15

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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.