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Finding the Fourth Proportional to 14,130.51, 19,498.77 and 8,465.16

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Solution

The fourth proportional to 14,130.51, 19,498.77 and 8,465.16 is: 11,681.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.51 : 19,498.77 = 8,465.16 : x
  2. Step 2: Convert to fraction form
    14,130.51/19,498.77 = 8,465.16/x
  3. Step 3: Cross multiply
    14,130.51x = 19,498.77 × 8,465.16
  4. Step 4: Simplify right side
    14,130.51x = 165,060,207.85
  5. Step 5: Solve for x
    x = 165,060,207.85/14,130.51
  6. Step 6: Final answer
    x = 11,681.12

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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.