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Finding the Fourth Proportional to 17,215, 23,760.75 and 10,506.18

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Solution

The fourth proportional to 17,215, 23,760.75 and 10,506.18 is: 14,500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,215 : 23,760.75 = 10,506.18 : x
  2. Step 2: Convert to fraction form
    17,215/23,760.75 = 10,506.18/x
  3. Step 3: Cross multiply
    17,215x = 23,760.75 × 10,506.18
  4. Step 4: Simplify right side
    17,215x = 249,634,597.63
  5. Step 5: Solve for x
    x = 249,634,597.63/17,215
  6. Step 6: Final answer
    x = 14,500.99

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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.