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Finding the Fourth Proportional to 21,300.32, 31,956.74 and 6,307.82

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Solution

The fourth proportional to 21,300.32, 31,956.74 and 6,307.82 is: 9,463.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,300.32 : 31,956.74 = 6,307.82 : x
  2. Step 2: Convert to fraction form
    21,300.32/31,956.74 = 6,307.82/x
  3. Step 3: Cross multiply
    21,300.32x = 31,956.74 × 6,307.82
  4. Step 4: Simplify right side
    21,300.32x = 201,577,363.71
  5. Step 5: Solve for x
    x = 201,577,363.71/21,300.32
  6. Step 6: Final answer
    x = 9,463.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.