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Finding the Fourth Proportional to 14,648.53, 21,973.33 and 7,530.86

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Solution

The fourth proportional to 14,648.53, 21,973.33 and 7,530.86 is: 11,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.53 : 21,973.33 = 7,530.86 : x
  2. Step 2: Convert to fraction form
    14,648.53/21,973.33 = 7,530.86/x
  3. Step 3: Cross multiply
    14,648.53x = 21,973.33 × 7,530.86
  4. Step 4: Simplify right side
    14,648.53x = 165,478,071.96
  5. Step 5: Solve for x
    x = 165,478,071.96/14,648.53
  6. Step 6: Final answer
    x = 11,296.57

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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.