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Finding the Fourth Proportional to 15,005.10, 22,507.65 and 9,782.70

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Solution

The fourth proportional to 15,005.10, 22,507.65 and 9,782.70 is: 14,674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.10 : 22,507.65 = 9,782.70 : x
  2. Step 2: Convert to fraction form
    15,005.10/22,507.65 = 9,782.70/x
  3. Step 3: Cross multiply
    15,005.10x = 22,507.65 × 9,782.70
  4. Step 4: Simplify right side
    15,005.10x = 220,185,587.66
  5. Step 5: Solve for x
    x = 220,185,587.66/15,005.10
  6. Step 6: Final answer
    x = 14,674.05

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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.