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Finding the Fourth Proportional to 21,725.34, 32,603.55 and 9,254.10

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Solution

The fourth proportional to 21,725.34, 32,603.55 and 9,254.10 is: 13,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725.34 : 32,603.55 = 9,254.10 : x
  2. Step 2: Convert to fraction form
    21,725.34/32,603.55 = 9,254.10/x
  3. Step 3: Cross multiply
    21,725.34x = 32,603.55 × 9,254.10
  4. Step 4: Simplify right side
    21,725.34x = 301,716,512.06
  5. Step 5: Solve for x
    x = 301,716,512.06/21,725.34
  6. Step 6: Final answer
    x = 13,887.77

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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.