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Finding the Fourth Proportional to 14,307.84, 21,461.76 and 6,525.36

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Solution

The fourth proportional to 14,307.84, 21,461.76 and 6,525.36 is: 9,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.84 : 21,461.76 = 6,525.36 : x
  2. Step 2: Convert to fraction form
    14,307.84/21,461.76 = 6,525.36/x
  3. Step 3: Cross multiply
    14,307.84x = 21,461.76 × 6,525.36
  4. Step 4: Simplify right side
    14,307.84x = 140,045,710.23
  5. Step 5: Solve for x
    x = 140,045,710.23/14,307.84
  6. Step 6: Final answer
    x = 9,788.04

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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.