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Finding the Fourth Proportional to 14,426.48, 19,894.74 and 8,762.15

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Solution

The fourth proportional to 14,426.48, 19,894.74 and 8,762.15 is: 12,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426.48 : 19,894.74 = 8,762.15 : x
  2. Step 2: Convert to fraction form
    14,426.48/19,894.74 = 8,762.15/x
  3. Step 3: Cross multiply
    14,426.48x = 19,894.74 × 8,762.15
  4. Step 4: Simplify right side
    14,426.48x = 174,320,696.09
  5. Step 5: Solve for x
    x = 174,320,696.09/14,426.48
  6. Step 6: Final answer
    x = 12,083.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.