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Finding the Fourth Proportional to 21,762.66, 32,646.34 and 9,284.00

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Solution

The fourth proportional to 21,762.66, 32,646.34 and 9,284.00 is: 13,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,762.66 : 32,646.34 = 9,284.00 : x
  2. Step 2: Convert to fraction form
    21,762.66/32,646.34 = 9,284.00/x
  3. Step 3: Cross multiply
    21,762.66x = 32,646.34 × 9,284.00
  4. Step 4: Simplify right side
    21,762.66x = 303,088,652.57
  5. Step 5: Solve for x
    x = 303,088,652.57/21,762.66
  6. Step 6: Final answer
    x = 13,927.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.