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Finding the Fourth Proportional to 14,482, 19,985.16 and 7,858

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Solution

The fourth proportional to 14,482, 19,985.16 and 7,858 is: 10,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482 : 19,985.16 = 7,858 : x
  2. Step 2: Convert to fraction form
    14,482/19,985.16 = 7,858/x
  3. Step 3: Cross multiply
    14,482x = 19,985.16 × 7,858
  4. Step 4: Simplify right side
    14,482x = 157,043,387.28
  5. Step 5: Solve for x
    x = 157,043,387.28/14,482
  6. Step 6: Final answer
    x = 10,844.04

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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.