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Finding the Fourth Proportional to 14,867.10, 20,506.23 and 13,000.86

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Solution

The fourth proportional to 14,867.10, 20,506.23 and 13,000.86 is: 17,932.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,867.10 : 20,506.23 = 13,000.86 : x
  2. Step 2: Convert to fraction form
    14,867.10/20,506.23 = 13,000.86/x
  3. Step 3: Cross multiply
    14,867.10x = 20,506.23 × 13,000.86
  4. Step 4: Simplify right side
    14,867.10x = 266,598,625.36
  5. Step 5: Solve for x
    x = 266,598,625.36/14,867.10
  6. Step 6: Final answer
    x = 17,932.12

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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.