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Finding the Fourth Proportional to 15,642.58, 21,585.40 and 9,268.06

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Solution

The fourth proportional to 15,642.58, 21,585.40 and 9,268.06 is: 12,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.58 : 21,585.40 = 9,268.06 : x
  2. Step 2: Convert to fraction form
    15,642.58/21,585.40 = 9,268.06/x
  3. Step 3: Cross multiply
    15,642.58x = 21,585.40 × 9,268.06
  4. Step 4: Simplify right side
    15,642.58x = 200,054,782.32
  5. Step 5: Solve for x
    x = 200,054,782.32/15,642.58
  6. Step 6: Final answer
    x = 12,789.12

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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.