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Finding the Fourth Proportional to 17,822.95, 24,595.36 and 9,865.00

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Solution

The fourth proportional to 17,822.95, 24,595.36 and 9,865.00 is: 13,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.95 : 24,595.36 = 9,865.00 : x
  2. Step 2: Convert to fraction form
    17,822.95/24,595.36 = 9,865.00/x
  3. Step 3: Cross multiply
    17,822.95x = 24,595.36 × 9,865.00
  4. Step 4: Simplify right side
    17,822.95x = 242,633,054.10
  5. Step 5: Solve for x
    x = 242,633,054.10/17,822.95
  6. Step 6: Final answer
    x = 13,613.52

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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.