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Finding the Fourth Proportional to 15,643.48, 21,588.78 and 9,678.25

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Solution

The fourth proportional to 15,643.48, 21,588.78 and 9,678.25 is: 13,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.48 : 21,588.78 = 9,678.25 : x
  2. Step 2: Convert to fraction form
    15,643.48/21,588.78 = 9,678.25/x
  3. Step 3: Cross multiply
    15,643.48x = 21,588.78 × 9,678.25
  4. Step 4: Simplify right side
    15,643.48x = 208,941,610.04
  5. Step 5: Solve for x
    x = 208,941,610.04/15,643.48
  6. Step 6: Final answer
    x = 13,356.47

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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.