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Finding the Fourth Proportional to 14,258.40, 19,677.48 and 7,970.76

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Solution

The fourth proportional to 14,258.40, 19,677.48 and 7,970.76 is: 11,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.40 : 19,677.48 = 7,970.76 : x
  2. Step 2: Convert to fraction form
    14,258.40/19,677.48 = 7,970.76/x
  3. Step 3: Cross multiply
    14,258.40x = 19,677.48 × 7,970.76
  4. Step 4: Simplify right side
    14,258.40x = 156,844,470.48
  5. Step 5: Solve for x
    x = 156,844,470.48/14,258.40
  6. Step 6: Final answer
    x = 11,000.15

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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.