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Finding the Fourth Proportional to 14,258.27, 19,677.06 and 7,970.65

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Solution

The fourth proportional to 14,258.27, 19,677.06 and 7,970.65 is: 10,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.27 : 19,677.06 = 7,970.65 : x
  2. Step 2: Convert to fraction form
    14,258.27/19,677.06 = 7,970.65/x
  3. Step 3: Cross multiply
    14,258.27x = 19,677.06 × 7,970.65
  4. Step 4: Simplify right side
    14,258.27x = 156,838,909.10
  5. Step 5: Solve for x
    x = 156,838,909.10/14,258.27
  6. Step 6: Final answer
    x = 10,999.85

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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.