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Finding the Fourth Proportional to 14,068.16, 19,415.04 and 7,781.12

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Solution

The fourth proportional to 14,068.16, 19,415.04 and 7,781.12 is: 10,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,068.16 : 19,415.04 = 7,781.12 : x
  2. Step 2: Convert to fraction form
    14,068.16/19,415.04 = 7,781.12/x
  3. Step 3: Cross multiply
    14,068.16x = 19,415.04 × 7,781.12
  4. Step 4: Simplify right side
    14,068.16x = 151,070,756.04
  5. Step 5: Solve for x
    x = 151,070,756.04/14,068.16
  6. Step 6: Final answer
    x = 10,738.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.