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Finding the Fourth Proportional to 21,383.77, 32,075.65 and 9,534.48

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Solution

The fourth proportional to 21,383.77, 32,075.65 and 9,534.48 is: 14,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,383.77 : 32,075.65 = 9,534.48 : x
  2. Step 2: Convert to fraction form
    21,383.77/32,075.65 = 9,534.48/x
  3. Step 3: Cross multiply
    21,383.77x = 32,075.65 × 9,534.48
  4. Step 4: Simplify right side
    21,383.77x = 305,824,643.41
  5. Step 5: Solve for x
    x = 305,824,643.41/21,383.77
  6. Step 6: Final answer
    x = 14,301.72

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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.