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Finding the Fourth Proportional to 13,657.36, 18,848.88 and 7,689.28

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Solution

The fourth proportional to 13,657.36, 18,848.88 and 7,689.28 is: 10,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.36 : 18,848.88 = 7,689.28 : x
  2. Step 2: Convert to fraction form
    13,657.36/18,848.88 = 7,689.28/x
  3. Step 3: Cross multiply
    13,657.36x = 18,848.88 × 7,689.28
  4. Step 4: Simplify right side
    13,657.36x = 144,934,316.01
  5. Step 5: Solve for x
    x = 144,934,316.01/13,657.36
  6. Step 6: Final answer
    x = 10,612.18

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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.