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Finding the Fourth Proportional to 17,410.16, 24,026.56 and 9,856.35

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Solution

The fourth proportional to 17,410.16, 24,026.56 and 9,856.35 is: 13,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,410.16 : 24,026.56 = 9,856.35 : x
  2. Step 2: Convert to fraction form
    17,410.16/24,026.56 = 9,856.35/x
  3. Step 3: Cross multiply
    17,410.16x = 24,026.56 × 9,856.35
  4. Step 4: Simplify right side
    17,410.16x = 236,814,160.02
  5. Step 5: Solve for x
    x = 236,814,160.02/17,410.16
  6. Step 6: Final answer
    x = 13,602.06

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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.