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Finding the Fourth Proportional to 13,985.52, 19,300 and 7,697.89

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Solution

The fourth proportional to 13,985.52, 19,300 and 7,697.89 is: 10,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.52 : 19,300 = 7,697.89 : x
  2. Step 2: Convert to fraction form
    13,985.52/19,300 = 7,697.89/x
  3. Step 3: Cross multiply
    13,985.52x = 19,300 × 7,697.89
  4. Step 4: Simplify right side
    13,985.52x = 148,569,277
  5. Step 5: Solve for x
    x = 148,569,277/13,985.52
  6. Step 6: Final answer
    x = 10,623.08

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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.