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Finding the Fourth Proportional to 23,748.64, 35,622.72 and 9,894.40

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Solution

The fourth proportional to 23,748.64, 35,622.72 and 9,894.40 is: 14,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,748.64 : 35,622.72 = 9,894.40 : x
  2. Step 2: Convert to fraction form
    23,748.64/35,622.72 = 9,894.40/x
  3. Step 3: Cross multiply
    23,748.64x = 35,622.72 × 9,894.40
  4. Step 4: Simplify right side
    23,748.64x = 352,465,440.77
  5. Step 5: Solve for x
    x = 352,465,440.77/23,748.64
  6. Step 6: Final answer
    x = 14,841.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.