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Finding the Fourth Proportional to 12,730.12, 17,567.54 and 7,064.93

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Solution

The fourth proportional to 12,730.12, 17,567.54 and 7,064.93 is: 9,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.12 : 17,567.54 = 7,064.93 : x
  2. Step 2: Convert to fraction form
    12,730.12/17,567.54 = 7,064.93/x
  3. Step 3: Cross multiply
    12,730.12x = 17,567.54 × 7,064.93
  4. Step 4: Simplify right side
    12,730.12x = 124,113,505.13
  5. Step 5: Solve for x
    x = 124,113,505.13/12,730.12
  6. Step 6: Final answer
    x = 9,749.60

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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.