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Finding the Fourth Proportional to 12,838.77, 19,214.42 and 9,543.69

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Solution

The fourth proportional to 12,838.77, 19,214.42 and 9,543.69 is: 14,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.77 : 19,214.42 = 9,543.69 : x
  2. Step 2: Convert to fraction form
    12,838.77/19,214.42 = 9,543.69/x
  3. Step 3: Cross multiply
    12,838.77x = 19,214.42 × 9,543.69
  4. Step 4: Simplify right side
    12,838.77x = 183,376,420.29
  5. Step 5: Solve for x
    x = 183,376,420.29/12,838.77
  6. Step 6: Final answer
    x = 14,283.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.