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Finding the Fourth Proportional to 21,303.32, 31,959.08 and 9,616.54

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Solution

The fourth proportional to 21,303.32, 31,959.08 and 9,616.54 is: 14,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303.32 : 31,959.08 = 9,616.54 : x
  2. Step 2: Convert to fraction form
    21,303.32/31,959.08 = 9,616.54/x
  3. Step 3: Cross multiply
    21,303.32x = 31,959.08 × 9,616.54
  4. Step 4: Simplify right side
    21,303.32x = 307,335,771.18
  5. Step 5: Solve for x
    x = 307,335,771.18/21,303.32
  6. Step 6: Final answer
    x = 14,426.66

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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.