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Finding the Fourth Proportional to 15,407.96, 21,258.06 and 9,119.12

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Solution

The fourth proportional to 15,407.96, 21,258.06 and 9,119.12 is: 12,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.96 : 21,258.06 = 9,119.12 : x
  2. Step 2: Convert to fraction form
    15,407.96/21,258.06 = 9,119.12/x
  3. Step 3: Cross multiply
    15,407.96x = 21,258.06 × 9,119.12
  4. Step 4: Simplify right side
    15,407.96x = 193,854,800.11
  5. Step 5: Solve for x
    x = 193,854,800.11/15,407.96
  6. Step 6: Final answer
    x = 12,581.47

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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.