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Finding the Fourth Proportional to 19,657.15, 29,497.88 and 7,970.47

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Solution

The fourth proportional to 19,657.15, 29,497.88 and 7,970.47 is: 11,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.15 : 29,497.88 = 7,970.47 : x
  2. Step 2: Convert to fraction form
    19,657.15/29,497.88 = 7,970.47/x
  3. Step 3: Cross multiply
    19,657.15x = 29,497.88 × 7,970.47
  4. Step 4: Simplify right side
    19,657.15x = 235,111,927.75
  5. Step 5: Solve for x
    x = 235,111,927.75/19,657.15
  6. Step 6: Final answer
    x = 11,960.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.