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Finding the Fourth Proportional to 15,782.29, 21,779.63 and 8,708.92

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Solution

The fourth proportional to 15,782.29, 21,779.63 and 8,708.92 is: 12,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.29 : 21,779.63 = 8,708.92 : x
  2. Step 2: Convert to fraction form
    15,782.29/21,779.63 = 8,708.92/x
  3. Step 3: Cross multiply
    15,782.29x = 21,779.63 × 8,708.92
  4. Step 4: Simplify right side
    15,782.29x = 189,677,055.30
  5. Step 5: Solve for x
    x = 189,677,055.30/15,782.29
  6. Step 6: Final answer
    x = 12,018.35

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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.