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Finding the Fourth Proportional to 15,816.66, 23,725 and 6,461.10

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Solution

The fourth proportional to 15,816.66, 23,725 and 6,461.10 is: 9,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.66 : 23,725 = 6,461.10 : x
  2. Step 2: Convert to fraction form
    15,816.66/23,725 = 6,461.10/x
  3. Step 3: Cross multiply
    15,816.66x = 23,725 × 6,461.10
  4. Step 4: Simplify right side
    15,816.66x = 153,289,597.50
  5. Step 5: Solve for x
    x = 153,289,597.50/15,816.66
  6. Step 6: Final answer
    x = 9,691.65

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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.