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Finding the Fourth Proportional to 10,058.07, 14,980.85 and 9,531.14

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Solution

The fourth proportional to 10,058.07, 14,980.85 and 9,531.14 is: 14,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.07 : 14,980.85 = 9,531.14 : x
  2. Step 2: Convert to fraction form
    10,058.07/14,980.85 = 9,531.14/x
  3. Step 3: Cross multiply
    10,058.07x = 14,980.85 × 9,531.14
  4. Step 4: Simplify right side
    10,058.07x = 142,784,639.95
  5. Step 5: Solve for x
    x = 142,784,639.95/10,058.07
  6. Step 6: Final answer
    x = 14,196.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.