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Finding the Fourth Proportional to 14,894.64, 22,342.53 and 7,495.08

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Solution

The fourth proportional to 14,894.64, 22,342.53 and 7,495.08 is: 11,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.64 : 22,342.53 = 7,495.08 : x
  2. Step 2: Convert to fraction form
    14,894.64/22,342.53 = 7,495.08/x
  3. Step 3: Cross multiply
    14,894.64x = 22,342.53 × 7,495.08
  4. Step 4: Simplify right side
    14,894.64x = 167,459,049.75
  5. Step 5: Solve for x
    x = 167,459,049.75/14,894.64
  6. Step 6: Final answer
    x = 11,242.91

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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.