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Finding the Fourth Proportional to 15,141, 22,712.63 and 4,047.43

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Solution

The fourth proportional to 15,141, 22,712.63 and 4,047.43 is: 6,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,141 : 22,712.63 = 4,047.43 : x
  2. Step 2: Convert to fraction form
    15,141/22,712.63 = 4,047.43/x
  3. Step 3: Cross multiply
    15,141x = 22,712.63 × 4,047.43
  4. Step 4: Simplify right side
    15,141x = 91,927,780.04
  5. Step 5: Solve for x
    x = 91,927,780.04/15,141
  6. Step 6: Final answer
    x = 6,071.45

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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.