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Finding the Fourth Proportional to 14,224.86, 19,631.43 and 8,258.40

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Solution

The fourth proportional to 14,224.86, 19,631.43 and 8,258.40 is: 11,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,224.86 : 19,631.43 = 8,258.40 : x
  2. Step 2: Convert to fraction form
    14,224.86/19,631.43 = 8,258.40/x
  3. Step 3: Cross multiply
    14,224.86x = 19,631.43 × 8,258.40
  4. Step 4: Simplify right side
    14,224.86x = 162,124,201.51
  5. Step 5: Solve for x
    x = 162,124,201.51/14,224.86
  6. Step 6: Final answer
    x = 11,397.24

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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.