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Finding the Fourth Proportional to 21,415.74, 32,123.52 and 9,566.46

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Solution

The fourth proportional to 21,415.74, 32,123.52 and 9,566.46 is: 14,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,415.74 : 32,123.52 = 9,566.46 : x
  2. Step 2: Convert to fraction form
    21,415.74/32,123.52 = 9,566.46/x
  3. Step 3: Cross multiply
    21,415.74x = 32,123.52 × 9,566.46
  4. Step 4: Simplify right side
    21,415.74x = 307,308,369.14
  5. Step 5: Solve for x
    x = 307,308,369.14/21,415.74
  6. Step 6: Final answer
    x = 14,349.65

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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.