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Finding the Fourth Proportional to 21,967.14, 30,315.16 and 12,536.58

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Solution

The fourth proportional to 21,967.14, 30,315.16 and 12,536.58 is: 17,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.14 : 30,315.16 = 12,536.58 : x
  2. Step 2: Convert to fraction form
    21,967.14/30,315.16 = 12,536.58/x
  3. Step 3: Cross multiply
    21,967.14x = 30,315.16 × 12,536.58
  4. Step 4: Simplify right side
    21,967.14x = 380,048,428.55
  5. Step 5: Solve for x
    x = 380,048,428.55/21,967.14
  6. Step 6: Final answer
    x = 17,300.77

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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.