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Finding the Fourth Proportional to 12,688.75, 17,510.51 and 7,023.90

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Solution

The fourth proportional to 12,688.75, 17,510.51 and 7,023.90 is: 9,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.75 : 17,510.51 = 7,023.90 : x
  2. Step 2: Convert to fraction form
    12,688.75/17,510.51 = 7,023.90/x
  3. Step 3: Cross multiply
    12,688.75x = 17,510.51 × 7,023.90
  4. Step 4: Simplify right side
    12,688.75x = 122,992,071.19
  5. Step 5: Solve for x
    x = 122,992,071.19/12,688.75
  6. Step 6: Final answer
    x = 9,693.00

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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.