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Finding the Fourth Proportional to 21,709.76, 29,908.32 and 17,908.16

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Solution

The fourth proportional to 21,709.76, 29,908.32 and 17,908.16 is: 24,671.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,709.76 : 29,908.32 = 17,908.16 : x
  2. Step 2: Convert to fraction form
    21,709.76/29,908.32 = 17,908.16/x
  3. Step 3: Cross multiply
    21,709.76x = 29,908.32 × 17,908.16
  4. Step 4: Simplify right side
    21,709.76x = 535,602,979.89
  5. Step 5: Solve for x
    x = 535,602,979.89/21,709.76
  6. Step 6: Final answer
    x = 24,671.07

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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.