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Finding the Fourth Proportional to 14,258.85, 19,677.10 and 8,210.28

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Solution

The fourth proportional to 14,258.85, 19,677.10 and 8,210.28 is: 11,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.85 : 19,677.10 = 8,210.28 : x
  2. Step 2: Convert to fraction form
    14,258.85/19,677.10 = 8,210.28/x
  3. Step 3: Cross multiply
    14,258.85x = 19,677.10 × 8,210.28
  4. Step 4: Simplify right side
    14,258.85x = 161,554,500.59
  5. Step 5: Solve for x
    x = 161,554,500.59/14,258.85
  6. Step 6: Final answer
    x = 11,330.12

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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.