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Finding the Fourth Proportional to 15,733.32, 21,712.05 and 9,019.34

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Solution

The fourth proportional to 15,733.32, 21,712.05 and 9,019.34 is: 12,446.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.32 : 21,712.05 = 9,019.34 : x
  2. Step 2: Convert to fraction form
    15,733.32/21,712.05 = 9,019.34/x
  3. Step 3: Cross multiply
    15,733.32x = 21,712.05 × 9,019.34
  4. Step 4: Simplify right side
    15,733.32x = 195,828,252.49
  5. Step 5: Solve for x
    x = 195,828,252.49/15,733.32
  6. Step 6: Final answer
    x = 12,446.72

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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.