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Finding the Fourth Proportional to 23,356.19, 32,232.32 and 12,746.40

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Solution

The fourth proportional to 23,356.19, 32,232.32 and 12,746.40 is: 17,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,356.19 : 32,232.32 = 12,746.40 : x
  2. Step 2: Convert to fraction form
    23,356.19/32,232.32 = 12,746.40/x
  3. Step 3: Cross multiply
    23,356.19x = 32,232.32 × 12,746.40
  4. Step 4: Simplify right side
    23,356.19x = 410,845,979.92
  5. Step 5: Solve for x
    x = 410,845,979.92/23,356.19
  6. Step 6: Final answer
    x = 17,590.46

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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.