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Finding the Fourth Proportional to 17,113.40, 23,616.30 and 10,038.46

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Solution

The fourth proportional to 17,113.40, 23,616.30 and 10,038.46 is: 13,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113.40 : 23,616.30 = 10,038.46 : x
  2. Step 2: Convert to fraction form
    17,113.40/23,616.30 = 10,038.46/x
  3. Step 3: Cross multiply
    17,113.40x = 23,616.30 × 10,038.46
  4. Step 4: Simplify right side
    17,113.40x = 237,071,282.90
  5. Step 5: Solve for x
    x = 237,071,282.90/17,113.40
  6. Step 6: Final answer
    x = 13,852.96

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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.