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Finding the Fourth Proportional to 12,531.98, 17,293.90 and 7,430.93

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Solution

The fourth proportional to 12,531.98, 17,293.90 and 7,430.93 is: 10,254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531.98 : 17,293.90 = 7,430.93 : x
  2. Step 2: Convert to fraction form
    12,531.98/17,293.90 = 7,430.93/x
  3. Step 3: Cross multiply
    12,531.98x = 17,293.90 × 7,430.93
  4. Step 4: Simplify right side
    12,531.98x = 128,509,720.20
  5. Step 5: Solve for x
    x = 128,509,720.20/12,531.98
  6. Step 6: Final answer
    x = 10,254.54

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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.