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Finding the Fourth Proportional to 21,564.21, 32,347.23 and 7,525.65

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Solution

The fourth proportional to 21,564.21, 32,347.23 and 7,525.65 is: 11,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.21 : 32,347.23 = 7,525.65 : x
  2. Step 2: Convert to fraction form
    21,564.21/32,347.23 = 7,525.65/x
  3. Step 3: Cross multiply
    21,564.21x = 32,347.23 × 7,525.65
  4. Step 4: Simplify right side
    21,564.21x = 243,433,931.45
  5. Step 5: Solve for x
    x = 243,433,931.45/21,564.21
  6. Step 6: Final answer
    x = 11,288.79

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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.