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Finding the Fourth Proportional to 14,638.52, 21,968.52 and 10,898.75

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Solution

The fourth proportional to 14,638.52, 21,968.52 and 10,898.75 is: 16,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.52 : 21,968.52 = 10,898.75 : x
  2. Step 2: Convert to fraction form
    14,638.52/21,968.52 = 10,898.75/x
  3. Step 3: Cross multiply
    14,638.52x = 21,968.52 × 10,898.75
  4. Step 4: Simplify right side
    14,638.52x = 239,429,421.40
  5. Step 5: Solve for x
    x = 239,429,421.40/14,638.52
  6. Step 6: Final answer
    x = 16,356.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.