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Finding the Fourth Proportional to 14,154.62, 19,499.62 and 9,897.72

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Solution

The fourth proportional to 14,154.62, 19,499.62 and 9,897.72 is: 13,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.62 : 19,499.62 = 9,897.72 : x
  2. Step 2: Convert to fraction form
    14,154.62/19,499.62 = 9,897.72/x
  3. Step 3: Cross multiply
    14,154.62x = 19,499.62 × 9,897.72
  4. Step 4: Simplify right side
    14,154.62x = 193,001,631.88
  5. Step 5: Solve for x
    x = 193,001,631.88/14,154.62
  6. Step 6: Final answer
    x = 13,635.24

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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.