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Finding the Fourth Proportional to 16,702.17, 23,049.16 and 9,628.60

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Solution

The fourth proportional to 16,702.17, 23,049.16 and 9,628.60 is: 13,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.17 : 23,049.16 = 9,628.60 : x
  2. Step 2: Convert to fraction form
    16,702.17/23,049.16 = 9,628.60/x
  3. Step 3: Cross multiply
    16,702.17x = 23,049.16 × 9,628.60
  4. Step 4: Simplify right side
    16,702.17x = 221,931,038.67
  5. Step 5: Solve for x
    x = 221,931,038.67/16,702.17
  6. Step 6: Final answer
    x = 13,287.55

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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.