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Finding the Fourth Proportional to 14,702.29, 20,281.40 and 9,315.22

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Solution

The fourth proportional to 14,702.29, 20,281.40 and 9,315.22 is: 12,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.29 : 20,281.40 = 9,315.22 : x
  2. Step 2: Convert to fraction form
    14,702.29/20,281.40 = 9,315.22/x
  3. Step 3: Cross multiply
    14,702.29x = 20,281.40 × 9,315.22
  4. Step 4: Simplify right side
    14,702.29x = 188,925,656.33
  5. Step 5: Solve for x
    x = 188,925,656.33/14,702.29
  6. Step 6: Final answer
    x = 12,850.08

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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.