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Finding the Fourth Proportional to 15,932.04, 21,980.34 and 9,642.12

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Solution

The fourth proportional to 15,932.04, 21,980.34 and 9,642.12 is: 13,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932.04 : 21,980.34 = 9,642.12 : x
  2. Step 2: Convert to fraction form
    15,932.04/21,980.34 = 9,642.12/x
  3. Step 3: Cross multiply
    15,932.04x = 21,980.34 × 9,642.12
  4. Step 4: Simplify right side
    15,932.04x = 211,937,075.92
  5. Step 5: Solve for x
    x = 211,937,075.92/15,932.04
  6. Step 6: Final answer
    x = 13,302.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.