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Finding the Fourth Proportional to 14,386.32, 19,853.40 and 8,719.68

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Solution

The fourth proportional to 14,386.32, 19,853.40 and 8,719.68 is: 12,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.32 : 19,853.40 = 8,719.68 : x
  2. Step 2: Convert to fraction form
    14,386.32/19,853.40 = 8,719.68/x
  3. Step 3: Cross multiply
    14,386.32x = 19,853.40 × 8,719.68
  4. Step 4: Simplify right side
    14,386.32x = 173,115,294.91
  5. Step 5: Solve for x
    x = 173,115,294.91/14,386.32
  6. Step 6: Final answer
    x = 12,033.33

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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.