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Finding the Fourth Proportional to 16,802.60, 23,191.09 and 10,088.51

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Solution

The fourth proportional to 16,802.60, 23,191.09 and 10,088.51 is: 13,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.60 : 23,191.09 = 10,088.51 : x
  2. Step 2: Convert to fraction form
    16,802.60/23,191.09 = 10,088.51/x
  3. Step 3: Cross multiply
    16,802.60x = 23,191.09 × 10,088.51
  4. Step 4: Simplify right side
    16,802.60x = 233,963,543.38
  5. Step 5: Solve for x
    x = 233,963,543.38/16,802.60
  6. Step 6: Final answer
    x = 13,924.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.