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Finding the Fourth Proportional to 14,261.50, 19,689.52 and 9,302.14

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Solution

The fourth proportional to 14,261.50, 19,689.52 and 9,302.14 is: 12,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.50 : 19,689.52 = 9,302.14 : x
  2. Step 2: Convert to fraction form
    14,261.50/19,689.52 = 9,302.14/x
  3. Step 3: Cross multiply
    14,261.50x = 19,689.52 × 9,302.14
  4. Step 4: Simplify right side
    14,261.50x = 183,154,671.57
  5. Step 5: Solve for x
    x = 183,154,671.57/14,261.50
  6. Step 6: Final answer
    x = 12,842.60

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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.