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Finding the Fourth Proportional to 21,973.64, 30,322.16 and 13,588.52

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Solution

The fourth proportional to 21,973.64, 30,322.16 and 13,588.52 is: 18,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.64 : 30,322.16 = 13,588.52 : x
  2. Step 2: Convert to fraction form
    21,973.64/30,322.16 = 13,588.52/x
  3. Step 3: Cross multiply
    21,973.64x = 30,322.16 × 13,588.52
  4. Step 4: Simplify right side
    21,973.64x = 412,033,277.60
  5. Step 5: Solve for x
    x = 412,033,277.60/21,973.64
  6. Step 6: Final answer
    x = 18,751.25

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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.