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Finding the Fourth Proportional to 13,897.34, 19,178.16 and 7,609.58

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Solution

The fourth proportional to 13,897.34, 19,178.16 and 7,609.58 is: 10,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.34 : 19,178.16 = 7,609.58 : x
  2. Step 2: Convert to fraction form
    13,897.34/19,178.16 = 7,609.58/x
  3. Step 3: Cross multiply
    13,897.34x = 19,178.16 × 7,609.58
  4. Step 4: Simplify right side
    13,897.34x = 145,937,742.77
  5. Step 5: Solve for x
    x = 145,937,742.77/13,897.34
  6. Step 6: Final answer
    x = 10,501.13

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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.