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Finding the Fourth Proportional to 12,749, 19,123.35 and 8,985.32

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Solution

The fourth proportional to 12,749, 19,123.35 and 8,985.32 is: 13,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749 : 19,123.35 = 8,985.32 : x
  2. Step 2: Convert to fraction form
    12,749/19,123.35 = 8,985.32/x
  3. Step 3: Cross multiply
    12,749x = 19,123.35 × 8,985.32
  4. Step 4: Simplify right side
    12,749x = 171,829,419.22
  5. Step 5: Solve for x
    x = 171,829,419.22/12,749
  6. Step 6: Final answer
    x = 13,477.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.