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Finding the Fourth Proportional to 19,807.35, 29,715.90 and 5,767.50

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Solution

The fourth proportional to 19,807.35, 29,715.90 and 5,767.50 is: 8,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.35 : 29,715.90 = 5,767.50 : x
  2. Step 2: Convert to fraction form
    19,807.35/29,715.90 = 5,767.50/x
  3. Step 3: Cross multiply
    19,807.35x = 29,715.90 × 5,767.50
  4. Step 4: Simplify right side
    19,807.35x = 171,386,424.41
  5. Step 5: Solve for x
    x = 171,386,424.41/19,807.35
  6. Step 6: Final answer
    x = 8,652.67

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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.