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Finding the Fourth Proportional to 14,161.69, 19,543.16 and 7,875.28

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Solution

The fourth proportional to 14,161.69, 19,543.16 and 7,875.28 is: 10,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.69 : 19,543.16 = 7,875.28 : x
  2. Step 2: Convert to fraction form
    14,161.69/19,543.16 = 7,875.28/x
  3. Step 3: Cross multiply
    14,161.69x = 19,543.16 × 7,875.28
  4. Step 4: Simplify right side
    14,161.69x = 153,907,827.92
  5. Step 5: Solve for x
    x = 153,907,827.92/14,161.69
  6. Step 6: Final answer
    x = 10,867.90

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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.