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Finding the Fourth Proportional to 13,985.95, 19,298.85 and 9,458.48

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Solution

The fourth proportional to 13,985.95, 19,298.85 and 9,458.48 is: 13,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.95 : 19,298.85 = 9,458.48 : x
  2. Step 2: Convert to fraction form
    13,985.95/19,298.85 = 9,458.48/x
  3. Step 3: Cross multiply
    13,985.95x = 19,298.85 × 9,458.48
  4. Step 4: Simplify right side
    13,985.95x = 182,537,786.75
  5. Step 5: Solve for x
    x = 182,537,786.75/13,985.95
  6. Step 6: Final answer
    x = 13,051.51

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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.