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Finding the Fourth Proportional to 14,780.10, 20,384.98 and 9,475.42

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Solution

The fourth proportional to 14,780.10, 20,384.98 and 9,475.42 is: 13,068.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780.10 : 20,384.98 = 9,475.42 : x
  2. Step 2: Convert to fraction form
    14,780.10/20,384.98 = 9,475.42/x
  3. Step 3: Cross multiply
    14,780.10x = 20,384.98 × 9,475.42
  4. Step 4: Simplify right side
    14,780.10x = 193,156,247.19
  5. Step 5: Solve for x
    x = 193,156,247.19/14,780.10
  6. Step 6: Final answer
    x = 13,068.67

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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.