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Finding the Fourth Proportional to 13,547.70, 18,694.96 and 7,578.34

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Solution

The fourth proportional to 13,547.70, 18,694.96 and 7,578.34 is: 10,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.70 : 18,694.96 = 7,578.34 : x
  2. Step 2: Convert to fraction form
    13,547.70/18,694.96 = 7,578.34/x
  3. Step 3: Cross multiply
    13,547.70x = 18,694.96 × 7,578.34
  4. Step 4: Simplify right side
    13,547.70x = 141,676,697.48
  5. Step 5: Solve for x
    x = 141,676,697.48/13,547.70
  6. Step 6: Final answer
    x = 10,457.62

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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.