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Finding the Fourth Proportional to 14,254.42, 19,666.29 and 9,225

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Solution

The fourth proportional to 14,254.42, 19,666.29 and 9,225 is: 12,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.42 : 19,666.29 = 9,225 : x
  2. Step 2: Convert to fraction form
    14,254.42/19,666.29 = 9,225/x
  3. Step 3: Cross multiply
    14,254.42x = 19,666.29 × 9,225
  4. Step 4: Simplify right side
    14,254.42x = 181,421,525.25
  5. Step 5: Solve for x
    x = 181,421,525.25/14,254.42
  6. Step 6: Final answer
    x = 12,727.39

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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.