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Finding the Fourth Proportional to 14,154.32, 19,533.15 and 7,780.88

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Solution

The fourth proportional to 14,154.32, 19,533.15 and 7,780.88 is: 10,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.32 : 19,533.15 = 7,780.88 : x
  2. Step 2: Convert to fraction form
    14,154.32/19,533.15 = 7,780.88/x
  3. Step 3: Cross multiply
    14,154.32x = 19,533.15 × 7,780.88
  4. Step 4: Simplify right side
    14,154.32x = 151,985,145.00
  5. Step 5: Solve for x
    x = 151,985,145.00/14,154.32
  6. Step 6: Final answer
    x = 10,737.72

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