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Finding the Fourth Proportional to 14,319.84, 21,472.08 and 6,521.76

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Solution

The fourth proportional to 14,319.84, 21,472.08 and 6,521.76 is: 9,779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.84 : 21,472.08 = 6,521.76 : x
  2. Step 2: Convert to fraction form
    14,319.84/21,472.08 = 6,521.76/x
  3. Step 3: Cross multiply
    14,319.84x = 21,472.08 × 6,521.76
  4. Step 4: Simplify right side
    14,319.84x = 140,035,752.46
  5. Step 5: Solve for x
    x = 140,035,752.46/14,319.84
  6. Step 6: Final answer
    x = 9,779.14

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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.