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Finding the Fourth Proportional to 15,238.71, 22,853.12 and 4,848.03

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Solution

The fourth proportional to 15,238.71, 22,853.12 and 4,848.03 is: 7,270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.71 : 22,853.12 = 4,848.03 : x
  2. Step 2: Convert to fraction form
    15,238.71/22,853.12 = 4,848.03/x
  3. Step 3: Cross multiply
    15,238.71x = 22,853.12 × 4,848.03
  4. Step 4: Simplify right side
    15,238.71x = 110,792,587.11
  5. Step 5: Solve for x
    x = 110,792,587.11/15,238.71
  6. Step 6: Final answer
    x = 7,270.47

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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.