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Finding the Fourth Proportional to 14,312.13, 19,748.91 and 8,342.30

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Solution

The fourth proportional to 14,312.13, 19,748.91 and 8,342.30 is: 11,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.13 : 19,748.91 = 8,342.30 : x
  2. Step 2: Convert to fraction form
    14,312.13/19,748.91 = 8,342.30/x
  3. Step 3: Cross multiply
    14,312.13x = 19,748.91 × 8,342.30
  4. Step 4: Simplify right side
    14,312.13x = 164,751,412.55
  5. Step 5: Solve for x
    x = 164,751,412.55/14,312.13
  6. Step 6: Final answer
    x = 11,511.32

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1.5x scale

Why These Related Problems?

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