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Finding the Fourth Proportional to 14,287.16, 19,714.38 and 7,999.40

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Solution

The fourth proportional to 14,287.16, 19,714.38 and 7,999.40 is: 11,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.16 : 19,714.38 = 7,999.40 : x
  2. Step 2: Convert to fraction form
    14,287.16/19,714.38 = 7,999.40/x
  3. Step 3: Cross multiply
    14,287.16x = 19,714.38 × 7,999.40
  4. Step 4: Simplify right side
    14,287.16x = 157,703,211.37
  5. Step 5: Solve for x
    x = 157,703,211.37/14,287.16
  6. Step 6: Final answer
    x = 11,038.11

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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.