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Finding the Fourth Proportional to 13,032.99, 17,985.55 and 7,064.66

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Solution

The fourth proportional to 13,032.99, 17,985.55 and 7,064.66 is: 9,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.99 : 17,985.55 = 7,064.66 : x
  2. Step 2: Convert to fraction form
    13,032.99/17,985.55 = 7,064.66/x
  3. Step 3: Cross multiply
    13,032.99x = 17,985.55 × 7,064.66
  4. Step 4: Simplify right side
    13,032.99x = 127,061,688.07
  5. Step 5: Solve for x
    x = 127,061,688.07/13,032.99
  6. Step 6: Final answer
    x = 9,749.24

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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.