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Finding the Fourth Proportional to 23,616.16, 32,590.02 and 13,005.58

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Solution

The fourth proportional to 23,616.16, 32,590.02 and 13,005.58 is: 17,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,616.16 : 32,590.02 = 13,005.58 : x
  2. Step 2: Convert to fraction form
    23,616.16/32,590.02 = 13,005.58/x
  3. Step 3: Cross multiply
    23,616.16x = 32,590.02 × 13,005.58
  4. Step 4: Simplify right side
    23,616.16x = 423,852,112.31
  5. Step 5: Solve for x
    x = 423,852,112.31/23,616.16
  6. Step 6: Final answer
    x = 17,947.55

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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.