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Finding the Fourth Proportional to 16,709.96, 23,030.86 and 14,572.16

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Solution

The fourth proportional to 16,709.96, 23,030.86 and 14,572.16 is: 20,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.96 : 23,030.86 = 14,572.16 : x
  2. Step 2: Convert to fraction form
    16,709.96/23,030.86 = 14,572.16/x
  3. Step 3: Cross multiply
    16,709.96x = 23,030.86 × 14,572.16
  4. Step 4: Simplify right side
    16,709.96x = 335,609,376.86
  5. Step 5: Solve for x
    x = 335,609,376.86/16,709.96
  6. Step 6: Final answer
    x = 20,084.39

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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.