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Finding the Fourth Proportional to 14,471.40, 19,970.68 and 8,503.32

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Solution

The fourth proportional to 14,471.40, 19,970.68 and 8,503.32 is: 11,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.40 : 19,970.68 = 8,503.32 : x
  2. Step 2: Convert to fraction form
    14,471.40/19,970.68 = 8,503.32/x
  3. Step 3: Cross multiply
    14,471.40x = 19,970.68 × 8,503.32
  4. Step 4: Simplify right side
    14,471.40x = 169,817,082.66
  5. Step 5: Solve for x
    x = 169,817,082.66/14,471.40
  6. Step 6: Final answer
    x = 11,734.67

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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.