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Finding the Fourth Proportional to 21,407.02, 32,102.56 and 7,363.10

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Solution

The fourth proportional to 21,407.02, 32,102.56 and 7,363.10 is: 11,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.02 : 32,102.56 = 7,363.10 : x
  2. Step 2: Convert to fraction form
    21,407.02/32,102.56 = 7,363.10/x
  3. Step 3: Cross multiply
    21,407.02x = 32,102.56 × 7,363.10
  4. Step 4: Simplify right side
    21,407.02x = 236,374,341.13
  5. Step 5: Solve for x
    x = 236,374,341.13/21,407.02
  6. Step 6: Final answer
    x = 11,041.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.