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Finding the Fourth Proportional to 14,260.50, 19,688.14 and 9,301.14

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Solution

The fourth proportional to 14,260.50, 19,688.14 and 9,301.14 is: 12,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.50 : 19,688.14 = 9,301.14 : x
  2. Step 2: Convert to fraction form
    14,260.50/19,688.14 = 9,301.14/x
  3. Step 3: Cross multiply
    14,260.50x = 19,688.14 × 9,301.14
  4. Step 4: Simplify right side
    14,260.50x = 183,122,146.48
  5. Step 5: Solve for x
    x = 183,122,146.48/14,260.50
  6. Step 6: Final answer
    x = 12,841.21

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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.