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Finding the Fourth Proportional to 35,022.72, 52,538.88 and 12,830.88

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Solution

The fourth proportional to 35,022.72, 52,538.88 and 12,830.88 is: 19,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,022.72 : 52,538.88 = 12,830.88 : x
  2. Step 2: Convert to fraction form
    35,022.72/52,538.88 = 12,830.88/x
  3. Step 3: Cross multiply
    35,022.72x = 52,538.88 × 12,830.88
  4. Step 4: Simplify right side
    35,022.72x = 674,120,064.61
  5. Step 5: Solve for x
    x = 674,120,064.61/35,022.72
  6. Step 6: Final answer
    x = 19,248.08

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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.