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Finding the Fourth Proportional to 14,609, 21,916.38 and 4,748.52

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Solution

The fourth proportional to 14,609, 21,916.38 and 4,748.52 is: 7,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609 : 21,916.38 = 4,748.52 : x
  2. Step 2: Convert to fraction form
    14,609/21,916.38 = 4,748.52/x
  3. Step 3: Cross multiply
    14,609x = 21,916.38 × 4,748.52
  4. Step 4: Simplify right side
    14,609x = 104,070,368.76
  5. Step 5: Solve for x
    x = 104,070,368.76/14,609
  6. Step 6: Final answer
    x = 7,123.72

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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.