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Finding the Fourth Proportional to 14,894.96, 22,337.16 and 4,362

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Solution

The fourth proportional to 14,894.96, 22,337.16 and 4,362 is: 6,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.96 : 22,337.16 = 4,362 : x
  2. Step 2: Convert to fraction form
    14,894.96/22,337.16 = 4,362/x
  3. Step 3: Cross multiply
    14,894.96x = 22,337.16 × 4,362
  4. Step 4: Simplify right side
    14,894.96x = 97,434,691.92
  5. Step 5: Solve for x
    x = 97,434,691.92/14,894.96
  6. Step 6: Final answer
    x = 6,541.45

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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.