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Finding the Fourth Proportional to 21,564.40, 32,337.96 and 7,705.84

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Solution

The fourth proportional to 21,564.40, 32,337.96 and 7,705.84 is: 11,555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.40 : 32,337.96 = 7,705.84 : x
  2. Step 2: Convert to fraction form
    21,564.40/32,337.96 = 7,705.84/x
  3. Step 3: Cross multiply
    21,564.40x = 32,337.96 × 7,705.84
  4. Step 4: Simplify right side
    21,564.40x = 249,191,145.69
  5. Step 5: Solve for x
    x = 249,191,145.69/21,564.40
  6. Step 6: Final answer
    x = 11,555.67

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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.