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Finding the Fourth Proportional to 17,111.40, 23,607.16 and 10,394.52

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Solution

The fourth proportional to 17,111.40, 23,607.16 and 10,394.52 is: 14,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,111.40 : 23,607.16 = 10,394.52 : x
  2. Step 2: Convert to fraction form
    17,111.40/23,607.16 = 10,394.52/x
  3. Step 3: Cross multiply
    17,111.40x = 23,607.16 × 10,394.52
  4. Step 4: Simplify right side
    17,111.40x = 245,385,096.76
  5. Step 5: Solve for x
    x = 245,385,096.76/17,111.40
  6. Step 6: Final answer
    x = 14,340.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.