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Finding the Fourth Proportional to 14,120.16, 21,158.64 and 7,547.28

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Solution

The fourth proportional to 14,120.16, 21,158.64 and 7,547.28 is: 11,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120.16 : 21,158.64 = 7,547.28 : x
  2. Step 2: Convert to fraction form
    14,120.16/21,158.64 = 7,547.28/x
  3. Step 3: Cross multiply
    14,120.16x = 21,158.64 × 7,547.28
  4. Step 4: Simplify right side
    14,120.16x = 159,690,180.50
  5. Step 5: Solve for x
    x = 159,690,180.50/14,120.16
  6. Step 6: Final answer
    x = 11,309.37

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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.