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Finding the Fourth Proportional to 21,725.47, 32,567.89 and 7,677.64

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Solution

The fourth proportional to 21,725.47, 32,567.89 and 7,677.64 is: 11,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725.47 : 32,567.89 = 7,677.64 : x
  2. Step 2: Convert to fraction form
    21,725.47/32,567.89 = 7,677.64/x
  3. Step 3: Cross multiply
    21,725.47x = 32,567.89 × 7,677.64
  4. Step 4: Simplify right side
    21,725.47x = 250,044,534.98
  5. Step 5: Solve for x
    x = 250,044,534.98/21,725.47
  6. Step 6: Final answer
    x = 11,509.28

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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.