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Finding the Fourth Proportional to 13,698.76, 18,886.88 and 9,213

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Solution

The fourth proportional to 13,698.76, 18,886.88 and 9,213 is: 12,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.76 : 18,886.88 = 9,213 : x
  2. Step 2: Convert to fraction form
    13,698.76/18,886.88 = 9,213/x
  3. Step 3: Cross multiply
    13,698.76x = 18,886.88 × 9,213
  4. Step 4: Simplify right side
    13,698.76x = 174,004,825.44
  5. Step 5: Solve for x
    x = 174,004,825.44/13,698.76
  6. Step 6: Final answer
    x = 12,702.23

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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.