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Finding the Fourth Proportional to 14,303.60, 19,738.93 and 8,714.60

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Solution

The fourth proportional to 14,303.60, 19,738.93 and 8,714.60 is: 12,026.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,303.60 : 19,738.93 = 8,714.60 : x
  2. Step 2: Convert to fraction form
    14,303.60/19,738.93 = 8,714.60/x
  3. Step 3: Cross multiply
    14,303.60x = 19,738.93 × 8,714.60
  4. Step 4: Simplify right side
    14,303.60x = 172,016,879.38
  5. Step 5: Solve for x
    x = 172,016,879.38/14,303.60
  6. Step 6: Final answer
    x = 12,026.12

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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.