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Finding the Fourth Proportional to 21,774.48, 30,031.84 and 14,602.02

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Solution

The fourth proportional to 21,774.48, 30,031.84 and 14,602.02 is: 20,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,774.48 : 30,031.84 = 14,602.02 : x
  2. Step 2: Convert to fraction form
    21,774.48/30,031.84 = 14,602.02/x
  3. Step 3: Cross multiply
    21,774.48x = 30,031.84 × 14,602.02
  4. Step 4: Simplify right side
    21,774.48x = 438,525,528.32
  5. Step 5: Solve for x
    x = 438,525,528.32/21,774.48
  6. Step 6: Final answer
    x = 20,139.43

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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.