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Finding the Fourth Proportional to 12,587.51, 17,345.13 and 9,737.57

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Solution

The fourth proportional to 12,587.51, 17,345.13 and 9,737.57 is: 13,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.51 : 17,345.13 = 9,737.57 : x
  2. Step 2: Convert to fraction form
    12,587.51/17,345.13 = 9,737.57/x
  3. Step 3: Cross multiply
    12,587.51x = 17,345.13 × 9,737.57
  4. Step 4: Simplify right side
    12,587.51x = 168,899,330.81
  5. Step 5: Solve for x
    x = 168,899,330.81/12,587.51
  6. Step 6: Final answer
    x = 13,418.01

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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.