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Finding the Fourth Proportional to 22,700.34, 34,001.28 and 10,989

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Solution

The fourth proportional to 22,700.34, 34,001.28 and 10,989 is: 16,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700.34 : 34,001.28 = 10,989 : x
  2. Step 2: Convert to fraction form
    22,700.34/34,001.28 = 10,989/x
  3. Step 3: Cross multiply
    22,700.34x = 34,001.28 × 10,989
  4. Step 4: Simplify right side
    22,700.34x = 373,640,065.92
  5. Step 5: Solve for x
    x = 373,640,065.92/22,700.34
  6. Step 6: Final answer
    x = 16,459.67

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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.