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Finding the Fourth Proportional to 14,575.40, 21,887.40 and 9,666.80

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Solution

The fourth proportional to 14,575.40, 21,887.40 and 9,666.80 is: 14,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.40 : 21,887.40 = 9,666.80 : x
  2. Step 2: Convert to fraction form
    14,575.40/21,887.40 = 9,666.80/x
  3. Step 3: Cross multiply
    14,575.40x = 21,887.40 × 9,666.80
  4. Step 4: Simplify right side
    14,575.40x = 211,581,118.32
  5. Step 5: Solve for x
    x = 211,581,118.32/14,575.40
  6. Step 6: Final answer
    x = 14,516.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.