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Finding the Fourth Proportional to 14,435.16, 21,656.92 and 7,043.90

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Solution

The fourth proportional to 14,435.16, 21,656.92 and 7,043.90 is: 10,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.16 : 21,656.92 = 7,043.90 : x
  2. Step 2: Convert to fraction form
    14,435.16/21,656.92 = 7,043.90/x
  3. Step 3: Cross multiply
    14,435.16x = 21,656.92 × 7,043.90
  4. Step 4: Simplify right side
    14,435.16x = 152,549,178.79
  5. Step 5: Solve for x
    x = 152,549,178.79/14,435.16
  6. Step 6: Final answer
    x = 10,567.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.