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Finding the Fourth Proportional to 21,506.64, 32,263.60 and 6,715.24

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Solution

The fourth proportional to 21,506.64, 32,263.60 and 6,715.24 is: 10,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.64 : 32,263.60 = 6,715.24 : x
  2. Step 2: Convert to fraction form
    21,506.64/32,263.60 = 6,715.24/x
  3. Step 3: Cross multiply
    21,506.64x = 32,263.60 × 6,715.24
  4. Step 4: Simplify right side
    21,506.64x = 216,657,817.26
  5. Step 5: Solve for x
    x = 216,657,817.26/21,506.64
  6. Step 6: Final answer
    x = 10,074.00

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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.