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Finding the Fourth Proportional to 12,818.16, 19,241.64 and 9,931.28

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Solution

The fourth proportional to 12,818.16, 19,241.64 and 9,931.28 is: 14,908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.16 : 19,241.64 = 9,931.28 : x
  2. Step 2: Convert to fraction form
    12,818.16/19,241.64 = 9,931.28/x
  3. Step 3: Cross multiply
    12,818.16x = 19,241.64 × 9,931.28
  4. Step 4: Simplify right side
    12,818.16x = 191,094,114.50
  5. Step 5: Solve for x
    x = 191,094,114.50/12,818.16
  6. Step 6: Final answer
    x = 14,908.08

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Why These Related Problems?

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