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Finding the Fourth Proportional to 22,670.88, 34,004.64 and 7,088

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Solution

The fourth proportional to 22,670.88, 34,004.64 and 7,088 is: 10,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,670.88 : 34,004.64 = 7,088 : x
  2. Step 2: Convert to fraction form
    22,670.88/34,004.64 = 7,088/x
  3. Step 3: Cross multiply
    22,670.88x = 34,004.64 × 7,088
  4. Step 4: Simplify right side
    22,670.88x = 241,024,888.32
  5. Step 5: Solve for x
    x = 241,024,888.32/22,670.88
  6. Step 6: Final answer
    x = 10,631.47

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Why These Related Problems?

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