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Finding the Fourth Proportional to 23,626, 32,603.88 and 13,015.63

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Solution

The fourth proportional to 23,626, 32,603.88 and 13,015.63 is: 17,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,626 : 32,603.88 = 13,015.63 : x
  2. Step 2: Convert to fraction form
    23,626/32,603.88 = 13,015.63/x
  3. Step 3: Cross multiply
    23,626x = 32,603.88 × 13,015.63
  4. Step 4: Simplify right side
    23,626x = 424,360,038.64
  5. Step 5: Solve for x
    x = 424,360,038.64/23,626
  6. Step 6: Final answer
    x = 17,961.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.