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Finding the Fourth Proportional to 23,120, 31,905.66 and 12,509.72

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Solution

The fourth proportional to 23,120, 31,905.66 and 12,509.72 is: 17,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,120 : 31,905.66 = 12,509.72 : x
  2. Step 2: Convert to fraction form
    23,120/31,905.66 = 12,509.72/x
  3. Step 3: Cross multiply
    23,120x = 31,905.66 × 12,509.72
  4. Step 4: Simplify right side
    23,120x = 399,130,873.02
  5. Step 5: Solve for x
    x = 399,130,873.02/23,120
  6. Step 6: Final answer
    x = 17,263.45

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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.