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Finding the Fourth Proportional to 17,835.21, 24,612.93 and 9,877.64

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Solution

The fourth proportional to 17,835.21, 24,612.93 and 9,877.64 is: 13,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.21 : 24,612.93 = 9,877.64 : x
  2. Step 2: Convert to fraction form
    17,835.21/24,612.93 = 9,877.64/x
  3. Step 3: Cross multiply
    17,835.21x = 24,612.93 × 9,877.64
  4. Step 4: Simplify right side
    17,835.21x = 243,117,538.82
  5. Step 5: Solve for x
    x = 243,117,538.82/17,835.21
  6. Step 6: Final answer
    x = 13,631.32

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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.