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Finding the Fourth Proportional to 14,258.13, 19,676.82 and 7,970.50

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Solution

The fourth proportional to 14,258.13, 19,676.82 and 7,970.50 is: 10,999.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.13 : 19,676.82 = 7,970.50 : x
  2. Step 2: Convert to fraction form
    14,258.13/19,676.82 = 7,970.50/x
  3. Step 3: Cross multiply
    14,258.13x = 19,676.82 × 7,970.50
  4. Step 4: Simplify right side
    14,258.13x = 156,834,093.81
  5. Step 5: Solve for x
    x = 156,834,093.81/14,258.13
  6. Step 6: Final answer
    x = 10,999.63

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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.