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Finding the Fourth Proportional to 21,825, 32,733.32 and 6,026.10

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Solution

The fourth proportional to 21,825, 32,733.32 and 6,026.10 is: 9,038.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,825 : 32,733.32 = 6,026.10 : x
  2. Step 2: Convert to fraction form
    21,825/32,733.32 = 6,026.10/x
  3. Step 3: Cross multiply
    21,825x = 32,733.32 × 6,026.10
  4. Step 4: Simplify right side
    21,825x = 197,254,259.65
  5. Step 5: Solve for x
    x = 197,254,259.65/21,825
  6. Step 6: Final answer
    x = 9,038.00

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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.