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Finding the Fourth Proportional to 14,706.11, 22,049.71 and 9,702.70

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Solution

The fourth proportional to 14,706.11, 22,049.71 and 9,702.70 is: 14,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.11 : 22,049.71 = 9,702.70 : x
  2. Step 2: Convert to fraction form
    14,706.11/22,049.71 = 9,702.70/x
  3. Step 3: Cross multiply
    14,706.11x = 22,049.71 × 9,702.70
  4. Step 4: Simplify right side
    14,706.11x = 213,941,721.22
  5. Step 5: Solve for x
    x = 213,941,721.22/14,706.11
  6. Step 6: Final answer
    x = 14,547.81

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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.