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Finding the Fourth Proportional to 14,607, 21,913.74 and 5,373

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Solution

The fourth proportional to 14,607, 21,913.74 and 5,373 is: 8,060.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,607 : 21,913.74 = 5,373 : x
  2. Step 2: Convert to fraction form
    14,607/21,913.74 = 5,373/x
  3. Step 3: Cross multiply
    14,607x = 21,913.74 × 5,373
  4. Step 4: Simplify right side
    14,607x = 117,742,525.02
  5. Step 5: Solve for x
    x = 117,742,525.02/14,607
  6. Step 6: Final answer
    x = 8,060.69

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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.