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Finding the Fourth Proportional to 16,730.40, 23,087.04 and 9,656.40

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Solution

The fourth proportional to 16,730.40, 23,087.04 and 9,656.40 is: 13,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.40 : 23,087.04 = 9,656.40 : x
  2. Step 2: Convert to fraction form
    16,730.40/23,087.04 = 9,656.40/x
  3. Step 3: Cross multiply
    16,730.40x = 23,087.04 × 9,656.40
  4. Step 4: Simplify right side
    16,730.40x = 222,937,693.06
  5. Step 5: Solve for x
    x = 222,937,693.06/16,730.40
  6. Step 6: Final answer
    x = 13,325.31

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1.5x scale

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.