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Finding the Fourth Proportional to 14,161.84, 19,544.28 and 9,454

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Solution

The fourth proportional to 14,161.84, 19,544.28 and 9,454 is: 13,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.84 : 19,544.28 = 9,454 : x
  2. Step 2: Convert to fraction form
    14,161.84/19,544.28 = 9,454/x
  3. Step 3: Cross multiply
    14,161.84x = 19,544.28 × 9,454
  4. Step 4: Simplify right side
    14,161.84x = 184,771,623.12
  5. Step 5: Solve for x
    x = 184,771,623.12/14,161.84
  6. Step 6: Final answer
    x = 13,047.15

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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.