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Finding the Fourth Proportional to 14,407.40, 19,884.69 and 8,746.92

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Solution

The fourth proportional to 14,407.40, 19,884.69 and 8,746.92 is: 12,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.40 : 19,884.69 = 8,746.92 : x
  2. Step 2: Convert to fraction form
    14,407.40/19,884.69 = 8,746.92/x
  3. Step 3: Cross multiply
    14,407.40x = 19,884.69 × 8,746.92
  4. Step 4: Simplify right side
    14,407.40x = 173,929,792.65
  5. Step 5: Solve for x
    x = 173,929,792.65/14,407.40
  6. Step 6: Final answer
    x = 12,072.25

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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.