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Finding the Fourth Proportional to 23,117, 31,901.32 and 12,506.60

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Solution

The fourth proportional to 23,117, 31,901.32 and 12,506.60 is: 17,259.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117 : 31,901.32 = 12,506.60 : x
  2. Step 2: Convert to fraction form
    23,117/31,901.32 = 12,506.60/x
  3. Step 3: Cross multiply
    23,117x = 31,901.32 × 12,506.60
  4. Step 4: Simplify right side
    23,117x = 398,977,048.71
  5. Step 5: Solve for x
    x = 398,977,048.71/23,117
  6. Step 6: Final answer
    x = 17,259.03

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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.