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Finding the Fourth Proportional to 13,698.40, 18,886.66 and 11,433

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Solution

The fourth proportional to 13,698.40, 18,886.66 and 11,433 is: 15,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.40 : 18,886.66 = 11,433 : x
  2. Step 2: Convert to fraction form
    13,698.40/18,886.66 = 11,433/x
  3. Step 3: Cross multiply
    13,698.40x = 18,886.66 × 11,433
  4. Step 4: Simplify right side
    13,698.40x = 215,931,183.78
  5. Step 5: Solve for x
    x = 215,931,183.78/13,698.40
  6. Step 6: Final answer
    x = 15,763.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.