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Finding the Fourth Proportional to 13,948.48, 19,253.18 and 8,284.16

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Solution

The fourth proportional to 13,948.48, 19,253.18 and 8,284.16 is: 11,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,948.48 : 19,253.18 = 8,284.16 : x
  2. Step 2: Convert to fraction form
    13,948.48/19,253.18 = 8,284.16/x
  3. Step 3: Cross multiply
    13,948.48x = 19,253.18 × 8,284.16
  4. Step 4: Simplify right side
    13,948.48x = 159,496,423.63
  5. Step 5: Solve for x
    x = 159,496,423.63/13,948.48
  6. Step 6: Final answer
    x = 11,434.68

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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.