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Finding the Fourth Proportional to 13,885, 19,161.34 and 7,597.32

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Solution

The fourth proportional to 13,885, 19,161.34 and 7,597.32 is: 10,484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885 : 19,161.34 = 7,597.32 : x
  2. Step 2: Convert to fraction form
    13,885/19,161.34 = 7,597.32/x
  3. Step 3: Cross multiply
    13,885x = 19,161.34 × 7,597.32
  4. Step 4: Simplify right side
    13,885x = 145,574,831.61
  5. Step 5: Solve for x
    x = 145,574,831.61/13,885
  6. Step 6: Final answer
    x = 10,484.32

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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.