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Finding the Fourth Proportional to 17,829.16, 24,606.06 and 10,275.76

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Solution

The fourth proportional to 17,829.16, 24,606.06 and 10,275.76 is: 14,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.16 : 24,606.06 = 10,275.76 : x
  2. Step 2: Convert to fraction form
    17,829.16/24,606.06 = 10,275.76/x
  3. Step 3: Cross multiply
    17,829.16x = 24,606.06 × 10,275.76
  4. Step 4: Simplify right side
    17,829.16x = 252,845,967.11
  5. Step 5: Solve for x
    x = 252,845,967.11/17,829.16
  6. Step 6: Final answer
    x = 14,181.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.