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Finding the Fourth Proportional to 15,070, 22,609.74 and 6,757

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Solution

The fourth proportional to 15,070, 22,609.74 and 6,757 is: 10,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,070 : 22,609.74 = 6,757 : x
  2. Step 2: Convert to fraction form
    15,070/22,609.74 = 6,757/x
  3. Step 3: Cross multiply
    15,070x = 22,609.74 × 6,757
  4. Step 4: Simplify right side
    15,070x = 152,774,013.18
  5. Step 5: Solve for x
    x = 152,774,013.18/15,070
  6. Step 6: Final answer
    x = 10,137.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.