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Finding the Fourth Proportional to 20,897.96, 31,345.42 and 9,807.16

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Solution

The fourth proportional to 20,897.96, 31,345.42 and 9,807.16 is: 14,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.96 : 31,345.42 = 9,807.16 : x
  2. Step 2: Convert to fraction form
    20,897.96/31,345.42 = 9,807.16/x
  3. Step 3: Cross multiply
    20,897.96x = 31,345.42 × 9,807.16
  4. Step 4: Simplify right side
    20,897.96x = 307,409,549.21
  5. Step 5: Solve for x
    x = 307,409,549.21/20,897.96
  6. Step 6: Final answer
    x = 14,710.03

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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.