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Finding the Fourth Proportional to 19,970.10, 29,897.55 and 12,194.10

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Solution

The fourth proportional to 19,970.10, 29,897.55 and 12,194.10 is: 18,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.10 : 29,897.55 = 12,194.10 : x
  2. Step 2: Convert to fraction form
    19,970.10/29,897.55 = 12,194.10/x
  3. Step 3: Cross multiply
    19,970.10x = 29,897.55 × 12,194.10
  4. Step 4: Simplify right side
    19,970.10x = 364,573,714.46
  5. Step 5: Solve for x
    x = 364,573,714.46/19,970.10
  6. Step 6: Final answer
    x = 18,255.98

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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.