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Finding the Fourth Proportional to 14,234.16, 19,619.64 and 9,516.72

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Solution

The fourth proportional to 14,234.16, 19,619.64 and 9,516.72 is: 13,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.16 : 19,619.64 = 9,516.72 : x
  2. Step 2: Convert to fraction form
    14,234.16/19,619.64 = 9,516.72/x
  3. Step 3: Cross multiply
    14,234.16x = 19,619.64 × 9,516.72
  4. Step 4: Simplify right side
    14,234.16x = 186,714,620.38
  5. Step 5: Solve for x
    x = 186,714,620.38/14,234.16
  6. Step 6: Final answer
    x = 13,117.36

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1.5x scale

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.