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Finding the Fourth Proportional to 13,547.10, 18,696.48 and 7,580.36

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Solution

The fourth proportional to 13,547.10, 18,696.48 and 7,580.36 is: 10,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.10 : 18,696.48 = 7,580.36 : x
  2. Step 2: Convert to fraction form
    13,547.10/18,696.48 = 7,580.36/x
  3. Step 3: Cross multiply
    13,547.10x = 18,696.48 × 7,580.36
  4. Step 4: Simplify right side
    13,547.10x = 141,726,049.13
  5. Step 5: Solve for x
    x = 141,726,049.13/13,547.10
  6. Step 6: Final answer
    x = 10,461.73

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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.