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Finding the Fourth Proportional to 13,547.34, 18,693.54 and 7,578.36

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Solution

The fourth proportional to 13,547.34, 18,693.54 and 7,578.36 is: 10,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.34 : 18,693.54 = 7,578.36 : x
  2. Step 2: Convert to fraction form
    13,547.34/18,693.54 = 7,578.36/x
  3. Step 3: Cross multiply
    13,547.34x = 18,693.54 × 7,578.36
  4. Step 4: Simplify right side
    13,547.34x = 141,666,375.79
  5. Step 5: Solve for x
    x = 141,666,375.79/13,547.34
  6. Step 6: Final answer
    x = 10,457.14

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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.