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Finding the Fourth Proportional to 14,454.48, 19,950.48 and 9,156.54

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Solution

The fourth proportional to 14,454.48, 19,950.48 and 9,156.54 is: 12,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.48 : 19,950.48 = 9,156.54 : x
  2. Step 2: Convert to fraction form
    14,454.48/19,950.48 = 9,156.54/x
  3. Step 3: Cross multiply
    14,454.48x = 19,950.48 × 9,156.54
  4. Step 4: Simplify right side
    14,454.48x = 182,677,368.14
  5. Step 5: Solve for x
    x = 182,677,368.14/14,454.48
  6. Step 6: Final answer
    x = 12,638.11

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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.