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Finding the Fourth Proportional to 13,533.17, 18,641.07 and 9,547.29

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Solution

The fourth proportional to 13,533.17, 18,641.07 and 9,547.29 is: 13,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.17 : 18,641.07 = 9,547.29 : x
  2. Step 2: Convert to fraction form
    13,533.17/18,641.07 = 9,547.29/x
  3. Step 3: Cross multiply
    13,533.17x = 18,641.07 × 9,547.29
  4. Step 4: Simplify right side
    13,533.17x = 177,971,701.20
  5. Step 5: Solve for x
    x = 177,971,701.20/13,533.17
  6. Step 6: Final answer
    x = 13,150.78

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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.