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Finding the Fourth Proportional to 14,719.56, 20,316.16 and 9,059.12

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Solution

The fourth proportional to 14,719.56, 20,316.16 and 9,059.12 is: 12,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.56 : 20,316.16 = 9,059.12 : x
  2. Step 2: Convert to fraction form
    14,719.56/20,316.16 = 9,059.12/x
  3. Step 3: Cross multiply
    14,719.56x = 20,316.16 × 9,059.12
  4. Step 4: Simplify right side
    14,719.56x = 184,046,531.38
  5. Step 5: Solve for x
    x = 184,046,531.38/14,719.56
  6. Step 6: Final answer
    x = 12,503.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.