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Finding the Fourth Proportional to 14,157.16, 19,537.11 and 7,784.02

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Solution

The fourth proportional to 14,157.16, 19,537.11 and 7,784.02 is: 10,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.16 : 19,537.11 = 7,784.02 : x
  2. Step 2: Convert to fraction form
    14,157.16/19,537.11 = 7,784.02/x
  3. Step 3: Cross multiply
    14,157.16x = 19,537.11 × 7,784.02
  4. Step 4: Simplify right side
    14,157.16x = 152,077,279.40
  5. Step 5: Solve for x
    x = 152,077,279.40/14,157.16
  6. Step 6: Final answer
    x = 10,742.08

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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.