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Finding the Fourth Proportional to 21,607.69, 32,417.00 and 6,025.31

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Solution

The fourth proportional to 21,607.69, 32,417.00 and 6,025.31 is: 9,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,607.69 : 32,417.00 = 6,025.31 : x
  2. Step 2: Convert to fraction form
    21,607.69/32,417.00 = 6,025.31/x
  3. Step 3: Cross multiply
    21,607.69x = 32,417.00 × 6,025.31
  4. Step 4: Simplify right side
    21,607.69x = 195,322,547.78
  5. Step 5: Solve for x
    x = 195,322,547.78/21,607.69
  6. Step 6: Final answer
    x = 9,039.49

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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.