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Finding the Fourth Proportional to 23,106.04, 31,875 and 14,150.68

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Solution

The fourth proportional to 23,106.04, 31,875 and 14,150.68 is: 19,521.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.04 : 31,875 = 14,150.68 : x
  2. Step 2: Convert to fraction form
    23,106.04/31,875 = 14,150.68/x
  3. Step 3: Cross multiply
    23,106.04x = 31,875 × 14,150.68
  4. Step 4: Simplify right side
    23,106.04x = 451,052,925
  5. Step 5: Solve for x
    x = 451,052,925/23,106.04
  6. Step 6: Final answer
    x = 19,521.00

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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.