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Finding the Fourth Proportional to 13,211.64, 18,233.58 and 7,547.28

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Solution

The fourth proportional to 13,211.64, 18,233.58 and 7,547.28 is: 10,416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.64 : 18,233.58 = 7,547.28 : x
  2. Step 2: Convert to fraction form
    13,211.64/18,233.58 = 7,547.28/x
  3. Step 3: Cross multiply
    13,211.64x = 18,233.58 × 7,547.28
  4. Step 4: Simplify right side
    13,211.64x = 137,613,933.66
  5. Step 5: Solve for x
    x = 137,613,933.66/13,211.64
  6. Step 6: Final answer
    x = 10,416.11

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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.