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Finding the Fourth Proportional to 14,317.57, 19,754.20 and 9,282

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Solution

The fourth proportional to 14,317.57, 19,754.20 and 9,282 is: 12,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,317.57 : 19,754.20 = 9,282 : x
  2. Step 2: Convert to fraction form
    14,317.57/19,754.20 = 9,282/x
  3. Step 3: Cross multiply
    14,317.57x = 19,754.20 × 9,282
  4. Step 4: Simplify right side
    14,317.57x = 183,358,484.40
  5. Step 5: Solve for x
    x = 183,358,484.40/14,317.57
  6. Step 6: Final answer
    x = 12,806.54

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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.