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Finding the Fourth Proportional to 14,560.16, 21,835.68 and 9,655.81

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Solution

The fourth proportional to 14,560.16, 21,835.68 and 9,655.81 is: 14,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.16 : 21,835.68 = 9,655.81 : x
  2. Step 2: Convert to fraction form
    14,560.16/21,835.68 = 9,655.81/x
  3. Step 3: Cross multiply
    14,560.16x = 21,835.68 × 9,655.81
  4. Step 4: Simplify right side
    14,560.16x = 210,841,086.50
  5. Step 5: Solve for x
    x = 210,841,086.50/14,560.16
  6. Step 6: Final answer
    x = 14,480.69

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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.