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Finding the Fourth Proportional to 14,113.32, 19,477.08 and 7,825.70

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Solution

The fourth proportional to 14,113.32, 19,477.08 and 7,825.70 is: 10,799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.32 : 19,477.08 = 7,825.70 : x
  2. Step 2: Convert to fraction form
    14,113.32/19,477.08 = 7,825.70/x
  3. Step 3: Cross multiply
    14,113.32x = 19,477.08 × 7,825.70
  4. Step 4: Simplify right side
    14,113.32x = 152,421,784.96
  5. Step 5: Solve for x
    x = 152,421,784.96/14,113.32
  6. Step 6: Final answer
    x = 10,799.85

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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.