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Finding the Fourth Proportional to 15,678.72, 23,501.64 and 7,351.74

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Solution

The fourth proportional to 15,678.72, 23,501.64 and 7,351.74 is: 11,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678.72 : 23,501.64 = 7,351.74 : x
  2. Step 2: Convert to fraction form
    15,678.72/23,501.64 = 7,351.74/x
  3. Step 3: Cross multiply
    15,678.72x = 23,501.64 × 7,351.74
  4. Step 4: Simplify right side
    15,678.72x = 172,777,946.85
  5. Step 5: Solve for x
    x = 172,777,946.85/15,678.72
  6. Step 6: Final answer
    x = 11,019.90

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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.