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Finding the Fourth Proportional to 17,116.95, 25,654.76 and 9,706.06

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Solution

The fourth proportional to 17,116.95, 25,654.76 and 9,706.06 is: 14,547.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.95 : 25,654.76 = 9,706.06 : x
  2. Step 2: Convert to fraction form
    17,116.95/25,654.76 = 9,706.06/x
  3. Step 3: Cross multiply
    17,116.95x = 25,654.76 × 9,706.06
  4. Step 4: Simplify right side
    17,116.95x = 249,006,659.78
  5. Step 5: Solve for x
    x = 249,006,659.78/17,116.95
  6. Step 6: Final answer
    x = 14,547.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.