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Finding the Fourth Proportional to 17,046, 23,521.36 and 9,875.82

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Solution

The fourth proportional to 17,046, 23,521.36 and 9,875.82 is: 13,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046 : 23,521.36 = 9,875.82 : x
  2. Step 2: Convert to fraction form
    17,046/23,521.36 = 9,875.82/x
  3. Step 3: Cross multiply
    17,046x = 23,521.36 × 9,875.82
  4. Step 4: Simplify right side
    17,046x = 232,292,717.52
  5. Step 5: Solve for x
    x = 232,292,717.52/17,046
  6. Step 6: Final answer
    x = 13,627.40

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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.