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Finding the Fourth Proportional to 13,035.18, 19,548 and 4,713.20

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Solution

The fourth proportional to 13,035.18, 19,548 and 4,713.20 is: 7,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.18 : 19,548 = 4,713.20 : x
  2. Step 2: Convert to fraction form
    13,035.18/19,548 = 4,713.20/x
  3. Step 3: Cross multiply
    13,035.18x = 19,548 × 4,713.20
  4. Step 4: Simplify right side
    13,035.18x = 92,133,633.60
  5. Step 5: Solve for x
    x = 92,133,633.60/13,035.18
  6. Step 6: Final answer
    x = 7,068.08

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Why These Related Problems?

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