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Finding the Fourth Proportional to 14,433.72, 19,907.74 and 9,717.09

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Solution

The fourth proportional to 14,433.72, 19,907.74 and 9,717.09 is: 13,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,433.72 : 19,907.74 = 9,717.09 : x
  2. Step 2: Convert to fraction form
    14,433.72/19,907.74 = 9,717.09/x
  3. Step 3: Cross multiply
    14,433.72x = 19,907.74 × 9,717.09
  4. Step 4: Simplify right side
    14,433.72x = 193,445,301.28
  5. Step 5: Solve for x
    x = 193,445,301.28/14,433.72
  6. Step 6: Final answer
    x = 13,402.32

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1.5x scale

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.