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Finding the Fourth Proportional to 12,492.36, 18,695.07 and 7,746.30

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Solution

The fourth proportional to 12,492.36, 18,695.07 and 7,746.30 is: 11,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.36 : 18,695.07 = 7,746.30 : x
  2. Step 2: Convert to fraction form
    12,492.36/18,695.07 = 7,746.30/x
  3. Step 3: Cross multiply
    12,492.36x = 18,695.07 × 7,746.30
  4. Step 4: Simplify right side
    12,492.36x = 144,817,620.74
  5. Step 5: Solve for x
    x = 144,817,620.74/12,492.36
  6. Step 6: Final answer
    x = 11,592.49

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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.