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Finding the Fourth Proportional to 23,112.16, 31,894.72 and 12,501.84

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Solution

The fourth proportional to 23,112.16, 31,894.72 and 12,501.84 is: 17,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112.16 : 31,894.72 = 12,501.84 : x
  2. Step 2: Convert to fraction form
    23,112.16/31,894.72 = 12,501.84/x
  3. Step 3: Cross multiply
    23,112.16x = 31,894.72 × 12,501.84
  4. Step 4: Simplify right side
    23,112.16x = 398,742,686.28
  5. Step 5: Solve for x
    x = 398,742,686.28/23,112.16
  6. Step 6: Final answer
    x = 17,252.51

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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.