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Finding the Fourth Proportional to 15,638.66, 21,582.78 and 8,566.10

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Solution

The fourth proportional to 15,638.66, 21,582.78 and 8,566.10 is: 11,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.66 : 21,582.78 = 8,566.10 : x
  2. Step 2: Convert to fraction form
    15,638.66/21,582.78 = 8,566.10/x
  3. Step 3: Cross multiply
    15,638.66x = 21,582.78 × 8,566.10
  4. Step 4: Simplify right side
    15,638.66x = 184,880,251.76
  5. Step 5: Solve for x
    x = 184,880,251.76/15,638.66
  6. Step 6: Final answer
    x = 11,822.00

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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.