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Finding the Fourth Proportional to 17,038.17, 23,535.23 and 14,214.92

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Solution

The fourth proportional to 17,038.17, 23,535.23 and 14,214.92 is: 19,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.17 : 23,535.23 = 14,214.92 : x
  2. Step 2: Convert to fraction form
    17,038.17/23,535.23 = 14,214.92/x
  3. Step 3: Cross multiply
    17,038.17x = 23,535.23 × 14,214.92
  4. Step 4: Simplify right side
    17,038.17x = 334,551,222.88
  5. Step 5: Solve for x
    x = 334,551,222.88/17,038.17
  6. Step 6: Final answer
    x = 19,635.40

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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.