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Finding the Fourth Proportional to 21,533.69, 29,714.63 and 12,457.53

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Solution

The fourth proportional to 21,533.69, 29,714.63 and 12,457.53 is: 17,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.69 : 29,714.63 = 12,457.53 : x
  2. Step 2: Convert to fraction form
    21,533.69/29,714.63 = 12,457.53/x
  3. Step 3: Cross multiply
    21,533.69x = 29,714.63 × 12,457.53
  4. Step 4: Simplify right side
    21,533.69x = 370,170,832.38
  5. Step 5: Solve for x
    x = 370,170,832.38/21,533.69
  6. Step 6: Final answer
    x = 17,190.32

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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.