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Finding the Fourth Proportional to 14,258.28, 19,677.06 and 7,970.66

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Solution

The fourth proportional to 14,258.28, 19,677.06 and 7,970.66 is: 10,999.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.28 : 19,677.06 = 7,970.66 : x
  2. Step 2: Convert to fraction form
    14,258.28/19,677.06 = 7,970.66/x
  3. Step 3: Cross multiply
    14,258.28x = 19,677.06 × 7,970.66
  4. Step 4: Simplify right side
    14,258.28x = 156,839,155.06
  5. Step 5: Solve for x
    x = 156,839,155.06/14,258.28
  6. Step 6: Final answer
    x = 10,999.86

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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.