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Finding the Fourth Proportional to 17,409.36, 24,026.40 and 9,857.02

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Solution

The fourth proportional to 17,409.36, 24,026.40 and 9,857.02 is: 13,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409.36 : 24,026.40 = 9,857.02 : x
  2. Step 2: Convert to fraction form
    17,409.36/24,026.40 = 9,857.02/x
  3. Step 3: Cross multiply
    17,409.36x = 24,026.40 × 9,857.02
  4. Step 4: Simplify right side
    17,409.36x = 236,828,595.01
  5. Step 5: Solve for x
    x = 236,828,595.01/17,409.36
  6. Step 6: Final answer
    x = 13,603.52

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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.