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Finding the Fourth Proportional to 14,703.30, 20,290.50 and 8,415

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Solution

The fourth proportional to 14,703.30, 20,290.50 and 8,415 is: 11,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,703.30 : 20,290.50 = 8,415 : x
  2. Step 2: Convert to fraction form
    14,703.30/20,290.50 = 8,415/x
  3. Step 3: Cross multiply
    14,703.30x = 20,290.50 × 8,415
  4. Step 4: Simplify right side
    14,703.30x = 170,744,557.50
  5. Step 5: Solve for x
    x = 170,744,557.50/14,703.30
  6. Step 6: Final answer
    x = 11,612.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.