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Finding the Fourth Proportional to 14,416, 21,624 and 4,688

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Solution

The fourth proportional to 14,416, 21,624 and 4,688 is: 7,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416 : 21,624 = 4,688 : x
  2. Step 2: Convert to fraction form
    14,416/21,624 = 4,688/x
  3. Step 3: Cross multiply
    14,416x = 21,624 × 4,688
  4. Step 4: Simplify right side
    14,416x = 101,373,312
  5. Step 5: Solve for x
    x = 101,373,312/14,416
  6. Step 6: Final answer
    x = 7,032

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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.