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Finding the Fourth Proportional to 12,688.32, 19,032.48 and 12,014.40

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Solution

The fourth proportional to 12,688.32, 19,032.48 and 12,014.40 is: 18,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.32 : 19,032.48 = 12,014.40 : x
  2. Step 2: Convert to fraction form
    12,688.32/19,032.48 = 12,014.40/x
  3. Step 3: Cross multiply
    12,688.32x = 19,032.48 × 12,014.40
  4. Step 4: Simplify right side
    12,688.32x = 228,663,827.71
  5. Step 5: Solve for x
    x = 228,663,827.71/12,688.32
  6. Step 6: Final answer
    x = 18,021.60

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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.