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Finding the Fourth Proportional to 12,931.40, 19,411.70 and 8,557.40

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Solution

The fourth proportional to 12,931.40, 19,411.70 and 8,557.40 is: 12,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.40 : 19,411.70 = 8,557.40 : x
  2. Step 2: Convert to fraction form
    12,931.40/19,411.70 = 8,557.40/x
  3. Step 3: Cross multiply
    12,931.40x = 19,411.70 × 8,557.40
  4. Step 4: Simplify right side
    12,931.40x = 166,113,681.58
  5. Step 5: Solve for x
    x = 166,113,681.58/12,931.40
  6. Step 6: Final answer
    x = 12,845.76

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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.