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Finding the Fourth Proportional to 15,582.77, 21,504.30 and 8,509.19

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Solution

The fourth proportional to 15,582.77, 21,504.30 and 8,509.19 is: 11,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.77 : 21,504.30 = 8,509.19 : x
  2. Step 2: Convert to fraction form
    15,582.77/21,504.30 = 8,509.19/x
  3. Step 3: Cross multiply
    15,582.77x = 21,504.30 × 8,509.19
  4. Step 4: Simplify right side
    15,582.77x = 182,984,174.52
  5. Step 5: Solve for x
    x = 182,984,174.52/15,582.77
  6. Step 6: Final answer
    x = 11,742.72

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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.