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Finding the Fourth Proportional to 21,706.32, 29,953.08 and 12,275.76

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Solution

The fourth proportional to 21,706.32, 29,953.08 and 12,275.76 is: 16,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.32 : 29,953.08 = 12,275.76 : x
  2. Step 2: Convert to fraction form
    21,706.32/29,953.08 = 12,275.76/x
  3. Step 3: Cross multiply
    21,706.32x = 29,953.08 × 12,275.76
  4. Step 4: Simplify right side
    21,706.32x = 367,696,821.34
  5. Step 5: Solve for x
    x = 367,696,821.34/21,706.32
  6. Step 6: Final answer
    x = 16,939.62

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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.