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Finding the Fourth Proportional to 14,557, 21,835.50 and 5,323

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Solution

The fourth proportional to 14,557, 21,835.50 and 5,323 is: 7,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557 : 21,835.50 = 5,323 : x
  2. Step 2: Convert to fraction form
    14,557/21,835.50 = 5,323/x
  3. Step 3: Cross multiply
    14,557x = 21,835.50 × 5,323
  4. Step 4: Simplify right side
    14,557x = 116,230,366.50
  5. Step 5: Solve for x
    x = 116,230,366.50/14,557
  6. Step 6: Final answer
    x = 7,984.50

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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.