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Finding the Fourth Proportional to 21,362.56, 32,038.08 and 9,664

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Solution

The fourth proportional to 21,362.56, 32,038.08 and 9,664 is: 14,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,362.56 : 32,038.08 = 9,664 : x
  2. Step 2: Convert to fraction form
    21,362.56/32,038.08 = 9,664/x
  3. Step 3: Cross multiply
    21,362.56x = 32,038.08 × 9,664
  4. Step 4: Simplify right side
    21,362.56x = 309,616,005.12
  5. Step 5: Solve for x
    x = 309,616,005.12/21,362.56
  6. Step 6: Final answer
    x = 14,493.39

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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.