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Finding the Fourth Proportional to 14,083.16, 19,426.30 and 9,303.16

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Solution

The fourth proportional to 14,083.16, 19,426.30 and 9,303.16 is: 12,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083.16 : 19,426.30 = 9,303.16 : x
  2. Step 2: Convert to fraction form
    14,083.16/19,426.30 = 9,303.16/x
  3. Step 3: Cross multiply
    14,083.16x = 19,426.30 × 9,303.16
  4. Step 4: Simplify right side
    14,083.16x = 180,725,977.11
  5. Step 5: Solve for x
    x = 180,725,977.11/14,083.16
  6. Step 6: Final answer
    x = 12,832.77

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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.