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Finding the Fourth Proportional to 14,699.54, 22,042.02 and 7,678.46

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Solution

The fourth proportional to 14,699.54, 22,042.02 and 7,678.46 is: 11,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.54 : 22,042.02 = 7,678.46 : x
  2. Step 2: Convert to fraction form
    14,699.54/22,042.02 = 7,678.46/x
  3. Step 3: Cross multiply
    14,699.54x = 22,042.02 × 7,678.46
  4. Step 4: Simplify right side
    14,699.54x = 169,248,768.89
  5. Step 5: Solve for x
    x = 169,248,768.89/14,699.54
  6. Step 6: Final answer
    x = 11,513.88

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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.