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Finding the Fourth Proportional to 13,958.95, 19,263.10 and 7,585.64

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Solution

The fourth proportional to 13,958.95, 19,263.10 and 7,585.64 is: 10,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.95 : 19,263.10 = 7,585.64 : x
  2. Step 2: Convert to fraction form
    13,958.95/19,263.10 = 7,585.64/x
  3. Step 3: Cross multiply
    13,958.95x = 19,263.10 × 7,585.64
  4. Step 4: Simplify right side
    13,958.95x = 146,122,941.88
  5. Step 5: Solve for x
    x = 146,122,941.88/13,958.95
  6. Step 6: Final answer
    x = 10,468.05

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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.