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Finding the Fourth Proportional to 13,706.46, 20,565.95 and 7,457.10

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Solution

The fourth proportional to 13,706.46, 20,565.95 and 7,457.10 is: 11,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.46 : 20,565.95 = 7,457.10 : x
  2. Step 2: Convert to fraction form
    13,706.46/20,565.95 = 7,457.10/x
  3. Step 3: Cross multiply
    13,706.46x = 20,565.95 × 7,457.10
  4. Step 4: Simplify right side
    13,706.46x = 153,362,308.46
  5. Step 5: Solve for x
    x = 153,362,308.46/13,706.46
  6. Step 6: Final answer
    x = 11,189.05

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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.