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Finding the Fourth Proportional to 17,688, 24,409.44 and 10,236

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Solution

The fourth proportional to 17,688, 24,409.44 and 10,236 is: 14,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688 : 24,409.44 = 10,236 : x
  2. Step 2: Convert to fraction form
    17,688/24,409.44 = 10,236/x
  3. Step 3: Cross multiply
    17,688x = 24,409.44 × 10,236
  4. Step 4: Simplify right side
    17,688x = 249,855,027.84
  5. Step 5: Solve for x
    x = 249,855,027.84/17,688
  6. Step 6: Final answer
    x = 14,125.68

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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.