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Finding the Fourth Proportional to 23,602.96, 32,572.86 and 12,993.40

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Solution

The fourth proportional to 23,602.96, 32,572.86 and 12,993.40 is: 17,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.96 : 32,572.86 = 12,993.40 : x
  2. Step 2: Convert to fraction form
    23,602.96/32,572.86 = 12,993.40/x
  3. Step 3: Cross multiply
    23,602.96x = 32,572.86 × 12,993.40
  4. Step 4: Simplify right side
    23,602.96x = 423,232,199.12
  5. Step 5: Solve for x
    x = 423,232,199.12/23,602.96
  6. Step 6: Final answer
    x = 17,931.32

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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.