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Finding the Fourth Proportional to 15,782.44, 21,779.76 and 10,117.18

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Solution

The fourth proportional to 15,782.44, 21,779.76 and 10,117.18 is: 13,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.44 : 21,779.76 = 10,117.18 : x
  2. Step 2: Convert to fraction form
    15,782.44/21,779.76 = 10,117.18/x
  3. Step 3: Cross multiply
    15,782.44x = 21,779.76 × 10,117.18
  4. Step 4: Simplify right side
    15,782.44x = 220,349,752.28
  5. Step 5: Solve for x
    x = 220,349,752.28/15,782.44
  6. Step 6: Final answer
    x = 13,961.70

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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.