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Finding the Fourth Proportional to 15,283.22, 22,926.87 and 6,047.06

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Solution

The fourth proportional to 15,283.22, 22,926.87 and 6,047.06 is: 9,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,283.22 : 22,926.87 = 6,047.06 : x
  2. Step 2: Convert to fraction form
    15,283.22/22,926.87 = 6,047.06/x
  3. Step 3: Cross multiply
    15,283.22x = 22,926.87 × 6,047.06
  4. Step 4: Simplify right side
    15,283.22x = 138,640,158.50
  5. Step 5: Solve for x
    x = 138,640,158.50/15,283.22
  6. Step 6: Final answer
    x = 9,071.40

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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.