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Finding the Fourth Proportional to 14,695.32, 22,034.88 and 7,657.77

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Solution

The fourth proportional to 14,695.32, 22,034.88 and 7,657.77 is: 11,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,695.32 : 22,034.88 = 7,657.77 : x
  2. Step 2: Convert to fraction form
    14,695.32/22,034.88 = 7,657.77/x
  3. Step 3: Cross multiply
    14,695.32x = 22,034.88 × 7,657.77
  4. Step 4: Simplify right side
    14,695.32x = 168,738,043.02
  5. Step 5: Solve for x
    x = 168,738,043.02/14,695.32
  6. Step 6: Final answer
    x = 11,482.43

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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.