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Finding the Fourth Proportional to 13,242.64, 19,940.92 and 9,569.92

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Solution

The fourth proportional to 13,242.64, 19,940.92 and 9,569.92 is: 14,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.64 : 19,940.92 = 9,569.92 : x
  2. Step 2: Convert to fraction form
    13,242.64/19,940.92 = 9,569.92/x
  3. Step 3: Cross multiply
    13,242.64x = 19,940.92 × 9,569.92
  4. Step 4: Simplify right side
    13,242.64x = 190,833,009.13
  5. Step 5: Solve for x
    x = 190,833,009.13/13,242.64
  6. Step 6: Final answer
    x = 14,410.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.