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Finding the Fourth Proportional to 13,032.63, 17,985.05 and 7,064.31

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Solution

The fourth proportional to 13,032.63, 17,985.05 and 7,064.31 is: 9,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.63 : 17,985.05 = 7,064.31 : x
  2. Step 2: Convert to fraction form
    13,032.63/17,985.05 = 7,064.31/x
  3. Step 3: Cross multiply
    13,032.63x = 17,985.05 × 7,064.31
  4. Step 4: Simplify right side
    13,032.63x = 127,051,968.57
  5. Step 5: Solve for x
    x = 127,051,968.57/13,032.63
  6. Step 6: Final answer
    x = 9,748.76

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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.