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Finding the Fourth Proportional to 10,312.80, 15,492.24 and 9,924

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Solution

The fourth proportional to 10,312.80, 15,492.24 and 9,924 is: 14,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.80 : 15,492.24 = 9,924 : x
  2. Step 2: Convert to fraction form
    10,312.80/15,492.24 = 9,924/x
  3. Step 3: Cross multiply
    10,312.80x = 15,492.24 × 9,924
  4. Step 4: Simplify right side
    10,312.80x = 153,744,989.76
  5. Step 5: Solve for x
    x = 153,744,989.76/10,312.80
  6. Step 6: Final answer
    x = 14,908.17

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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.