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Finding the Fourth Proportional to 17,254.66, 23,809.32 and 9,700.14

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Solution

The fourth proportional to 17,254.66, 23,809.32 and 9,700.14 is: 13,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254.66 : 23,809.32 = 9,700.14 : x
  2. Step 2: Convert to fraction form
    17,254.66/23,809.32 = 9,700.14/x
  3. Step 3: Cross multiply
    17,254.66x = 23,809.32 × 9,700.14
  4. Step 4: Simplify right side
    17,254.66x = 230,953,737.30
  5. Step 5: Solve for x
    x = 230,953,737.30/17,254.66
  6. Step 6: Final answer
    x = 13,385.01

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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.