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Finding the Fourth Proportional to 12,657.40, 18,970.71 and 9,527.32

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Solution

The fourth proportional to 12,657.40, 18,970.71 and 9,527.32 is: 14,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.40 : 18,970.71 = 9,527.32 : x
  2. Step 2: Convert to fraction form
    12,657.40/18,970.71 = 9,527.32/x
  3. Step 3: Cross multiply
    12,657.40x = 18,970.71 × 9,527.32
  4. Step 4: Simplify right side
    12,657.40x = 180,740,012.78
  5. Step 5: Solve for x
    x = 180,740,012.78/12,657.40
  6. Step 6: Final answer
    x = 14,279.40

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