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Finding the Fourth Proportional to 23,101.60, 31,880.16 and 13,030.01

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Solution

The fourth proportional to 23,101.60, 31,880.16 and 13,030.01 is: 17,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.60 : 31,880.16 = 13,030.01 : x
  2. Step 2: Convert to fraction form
    23,101.60/31,880.16 = 13,030.01/x
  3. Step 3: Cross multiply
    23,101.60x = 31,880.16 × 13,030.01
  4. Step 4: Simplify right side
    23,101.60x = 415,398,579.05
  5. Step 5: Solve for x
    x = 415,398,579.05/23,101.60
  6. Step 6: Final answer
    x = 17,981.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.