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Finding the Fourth Proportional to 13,068.16, 19,602.44 and 7,212.04

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Solution

The fourth proportional to 13,068.16, 19,602.44 and 7,212.04 is: 10,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068.16 : 19,602.44 = 7,212.04 : x
  2. Step 2: Convert to fraction form
    13,068.16/19,602.44 = 7,212.04/x
  3. Step 3: Cross multiply
    13,068.16x = 19,602.44 × 7,212.04
  4. Step 4: Simplify right side
    13,068.16x = 141,373,581.38
  5. Step 5: Solve for x
    x = 141,373,581.38/13,068.16
  6. Step 6: Final answer
    x = 10,818.17

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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.