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Finding the Fourth Proportional to 15,642.64, 23,466.31 and 4,547.88

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Solution

The fourth proportional to 15,642.64, 23,466.31 and 4,547.88 is: 6,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.64 : 23,466.31 = 4,547.88 : x
  2. Step 2: Convert to fraction form
    15,642.64/23,466.31 = 4,547.88/x
  3. Step 3: Cross multiply
    15,642.64x = 23,466.31 × 4,547.88
  4. Step 4: Simplify right side
    15,642.64x = 106,721,961.92
  5. Step 5: Solve for x
    x = 106,721,961.92/15,642.64
  6. Step 6: Final answer
    x = 6,822.50

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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.