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Finding the Fourth Proportional to 15,867.64, 23,802.72 and 4,180.78

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Solution

The fourth proportional to 15,867.64, 23,802.72 and 4,180.78 is: 6,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867.64 : 23,802.72 = 4,180.78 : x
  2. Step 2: Convert to fraction form
    15,867.64/23,802.72 = 4,180.78/x
  3. Step 3: Cross multiply
    15,867.64x = 23,802.72 × 4,180.78
  4. Step 4: Simplify right side
    15,867.64x = 99,513,935.72
  5. Step 5: Solve for x
    x = 99,513,935.72/15,867.64
  6. Step 6: Final answer
    x = 6,271.50

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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.