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Finding the Fourth Proportional to 21,904.94, 32,860.38 and 7,109.08

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Solution

The fourth proportional to 21,904.94, 32,860.38 and 7,109.08 is: 10,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,904.94 : 32,860.38 = 7,109.08 : x
  2. Step 2: Convert to fraction form
    21,904.94/32,860.38 = 7,109.08/x
  3. Step 3: Cross multiply
    21,904.94x = 32,860.38 × 7,109.08
  4. Step 4: Simplify right side
    21,904.94x = 233,607,070.25
  5. Step 5: Solve for x
    x = 233,607,070.25/21,904.94
  6. Step 6: Final answer
    x = 10,664.58

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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.