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Finding the Fourth Proportional to 14,421, 19,903.14 and 8,835.24

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Solution

The fourth proportional to 14,421, 19,903.14 and 8,835.24 is: 12,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421 : 19,903.14 = 8,835.24 : x
  2. Step 2: Convert to fraction form
    14,421/19,903.14 = 8,835.24/x
  3. Step 3: Cross multiply
    14,421x = 19,903.14 × 8,835.24
  4. Step 4: Simplify right side
    14,421x = 175,849,018.65
  5. Step 5: Solve for x
    x = 175,849,018.65/14,421
  6. Step 6: Final answer
    x = 12,193.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.